initial commit / add all books

16 files changed, 339 insertions, 0 deletions

diff --git a/3808/CH6/EX6.1/Ex6_1.sce b/3808/CH6/EX6.1/Ex6_1.sce
new file mode 100644
index 000000000..2afa6464b
--- /dev/null
+++ b/3808/CH6/EX6.1/Ex6_1.sce
@@ -0,0 +1,13 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+n=2 //no of employees
+r=12 //no of office rooms
+sanchez=12
+patel=11
+sol=sanchez*patel
+
+//product rule
+mprintf("Total no of ways to assign offices to these employees is %d",sol)
diff --git a/3808/CH6/EX6.10/Ex6_10.sce b/3808/CH6/EX6.10/Ex6_10.sce
new file mode 100644
index 000000000..7b4136221
--- /dev/null
+++ b/3808/CH6/EX6.10/Ex6_10.sce
@@ -0,0 +1,25 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function result=combination(n,r) //function definition
+i=n
+num=1
+denominator=1
+l=(n-r)+1
+u=n
+for i=l:u //to compute the value of the numerator
+num=num*i
+end
+for j=1:r //to compute the value of the denominator
+denominator=denominator*j
+end
+result=num/denominator 
+return result
+endfunction
+
+num=input("Enter the number of elements:")
+com=input("Enter the number of combinations:")
+res=combination(num,com)
+mprintf("The number of combinations are %d ",res) 
diff --git a/3808/CH6/EX6.11/Ex6_11.sce b/3808/CH6/EX6.11/Ex6_11.sce
new file mode 100644
index 000000000..e16105aab
--- /dev/null
+++ b/3808/CH6/EX6.11/Ex6_11.sce
@@ -0,0 +1,29 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function result=combination(n,r) //function definition
+i=n
+num=1
+denominator=1
+l=(n-r)+1
+u=n
+for i=l:u //to compute the value of the numerator
+num=num*i
+end
+for j=1:r //to compute the value of the denominator
+denominator=denominator*j
+end
+result=num/denominator 
+return result
+endfunction
+
+//Part A Solution
+num=input("Enter the number of cards in the deck(For standard deck n=52):")
+com1=input("Enter the number of cards for poker hands determination:")
+com2=input("Enter the number of cards to select no of ways:")
+res1=combination(num,com1)
+mprintf("The number of poker hands of %d cards that can be dealt are %d ",com1,res1)
+res2=combination(num,com2)
+mprintf("\nThe number of ways to select %d cards from a standard deck are %d ",com2,res1)
diff --git a/3808/CH6/EX6.12/Ex6_12.sce b/3808/CH6/EX6.12/Ex6_12.sce
new file mode 100644
index 000000000..72830762d
--- /dev/null
+++ b/3808/CH6/EX6.12/Ex6_12.sce
@@ -0,0 +1,25 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function result=combination(n,r) //function definition
+i=n
+num=1
+denominator=1
+l=(n-r)+1
+u=n
+for i=l:u //to compute the value of the numerator
+num=num*i
+end
+for j=1:r //to compute the value of the denominator
+denominator=denominator*j
+end
+result=num/denominator 
+return result
+endfunction
+
+num=input("Enter the total number of members in a team:")
+com=input("Enter the number of players:")
+res=combination(num,com)
+mprintf("The number of combinations are %d ",res) 
diff --git a/3808/CH6/EX6.13/Ex6_13.sce b/3808/CH6/EX6.13/Ex6_13.sce
new file mode 100644
index 000000000..c926eca40
--- /dev/null
+++ b/3808/CH6/EX6.13/Ex6_13.sce
@@ -0,0 +1,25 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function result=combination(n,r) //function definition
+i=n
+num=1
+denominator=1
+l=(n-r)+1
+u=n
+for i=l:u //to compute the value of the numerator
+num=num*i
+end
+for j=1:r //to compute the value of the denominator
+denominator=denominator*j
+end
+result=num/denominator 
+return result
+endfunction
+
+num=input("Enter the number of astronauts:")
+com=input("Enter the number of astronauts to be selected:")
+res=combination(num,com)
+mprintf("The number of combinations are %d ",res) 
diff --git a/3808/CH6/EX6.14/Ex6_14.sce b/3808/CH6/EX6.14/Ex6_14.sce
new file mode 100644
index 000000000..9541498b7
--- /dev/null
+++ b/3808/CH6/EX6.14/Ex6_14.sce
@@ -0,0 +1,36 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function result=combination(n,r) //function definition
+i=n
+num=1
+denominator=1
+l=(n-r)+1
+u=n
+for i=l:u //to compute the value of the numerator
+num=num*i
+end
+for j=1:r //to compute the value of the denominator
+denominator=denominator*j
+end
+result=num/denominator 
+return result
+endfunction
+
+num1=input("Enter the total number of faculty in Computer Science department:")
+com1=input("Enter the number of faculty to be selected for the Computer Science department:")
+res1=combination(num1,com1)
+
+mprintf("The number of combinations for the Computer Science department is %d ",res1) 
+
+num2=input("Enter the total number of faculty in the Maths department:")
+com2=input("Enter the number of faculty to be selected for the Maths department:")
+res2=combination(num2,com2)
+
+mprintf("The number of combinations for the Maths department is %d ",res2) 
+
+final_res=res1*res2
+
+mprintf("The total number of combinations for the selected faculties is %d",final_res)
diff --git a/3808/CH6/EX6.15/Ex6_15.sce b/3808/CH6/EX6.15/Ex6_15.sce
new file mode 100644
index 000000000..d9a115522
--- /dev/null
+++ b/3808/CH6/EX6.15/Ex6_15.sce
@@ -0,0 +1,32 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function result=combination(n,r) //function definition
+i=n
+num=1
+denominator=1
+l=(n-r)+1
+u=n
+for i=l:u //to compute the value of the numerator
+num=num*i
+end
+for j=1:r //to compute the value of the denominator
+denominator=denominator*j
+end
+result=num/denominator 
+return result
+endfunction
+
+fac=1
+nc=52//no of cards in a standard deck
+num1=input("Enter the number of cards to distribute:")
+num2=input("Enter the number of players:")
+for i=1:num2
+    fac=fac*combination(nc,num1)
+    nc=nc-num1
+end
+
+mprintf("The total number of ways to deal %d players %d cards each is",num2,num1)
+disp(fac) 
diff --git a/3808/CH6/EX6.16/Ex6_16.sce b/3808/CH6/EX6.16/Ex6_16.sce
new file mode 100644
index 000000000..a9f3fe42e
--- /dev/null
+++ b/3808/CH6/EX6.16/Ex6_16.sce
@@ -0,0 +1,29 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function result=combination(n,r) //function definition
+i=n
+num=1
+denominator=1
+l=(n-r)+1
+u=n
+for i=l:u //to compute the value of the numerator
+num=num*i
+end
+for j=1:r //to compute the value of the denominator
+denominator=denominator*j
+end
+result=num/denominator 
+return result
+endfunction
+
+num1=input("Enter the number of indistinguishable bins:")
+num2=input("Enter the number of distinguishable bins:")
+
+//Using formula C(n+r-1,n-l) we obtain
+
+comb=combination(num2+num1-1,num2-1)
+
+mprintf("There are %d number of ways to place %d objects into %d distinguishable boxes",comb,num1,num2)
diff --git a/3808/CH6/EX6.2/Ex6_2.sce b/3808/CH6/EX6.2/Ex6_2.sce
new file mode 100644
index 000000000..407f66fa1
--- /dev/null
+++ b/3808/CH6/EX6.2/Ex6_2.sce
@@ -0,0 +1,11 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+letters=26 //Total no of letters in the english alphabet
+post=100 //Total positive no.s not beyond 100
+sol=letters*post
+
+//number of chairs to be labelled with an alphabet and an integer using product rule
+mprintf("Total number of chairs that can be labelled with an alphabet and an integer is %d",sol)
diff --git a/3808/CH6/EX6.3/Ex6_3.sce b/3808/CH6/EX6.3/Ex6_3.sce
new file mode 100644
index 000000000..42134de52
--- /dev/null
+++ b/3808/CH6/EX6.3/Ex6_3.sce
@@ -0,0 +1,11 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+mc=32 //total no of microcomputers
+p=24 //total no of ports in each microcomputer
+sol=mc*p
+
+//total number of different ports to a microcomputer in the center are found using product rule
+mprintf("Total number of ports is %d",sol)
diff --git a/3808/CH6/EX6.4/Ex6_4.sce b/3808/CH6/EX6.4/Ex6_4.sce
new file mode 100644
index 000000000..6b057a4f0
--- /dev/null
+++ b/3808/CH6/EX6.4/Ex6_4.sce
@@ -0,0 +1,11 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+bits=2 //possible bits are either 0 or 1
+ns=7 //no of bits in the string (ie). length of the string
+sol=bits**ns
+
+// 7 bits are capable of taking either 0 or 1 so by PRODUCT RULE
+mprintf("Total different bit strings of length seven are %d",sol)
diff --git a/3808/CH6/EX6.5/Ex6_5.sce b/3808/CH6/EX6.5/Ex6_5.sce
new file mode 100644
index 000000000..576708e95
--- /dev/null
+++ b/3808/CH6/EX6.5/Ex6_5.sce
@@ -0,0 +1,14 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+letters=26 //no. of letters in english alphabet
+no_of_letters=3 //number of letters 
+choices=10 //number of choices for each letter
+result=1//in order to avoid junk values.  Assigned it to 1.
+for i=1:no_of_letters
+result=result*letters*choices
+end
+
+mprintf("The total number of choices are %d",result)
diff --git a/3808/CH6/EX6.6/Ex6_6.sce b/3808/CH6/EX6.6/Ex6_6.sce
new file mode 100644
index 000000000..25b0b648e
--- /dev/null
+++ b/3808/CH6/EX6.6/Ex6_6.sce
@@ -0,0 +1,21 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function res=permutation(n,r) //function definition
+i=n
+res=1
+l=(n-r)+1
+u=n
+for i=l:u //computing the permutation
+res=res*i
+end
+return res
+endfunction
+
+a=permutation(5,3)//function call
+b=permutation(5,5)//function call
+
+mprintf("The number of ways to select 3 students from a group of 5 students to line up for a picture is %d",a) 
+mprintf("\nThe number of ways to select 5 students from a group of 5 students to line up for a picture is %d",b) 
diff --git a/3808/CH6/EX6.7/Ex6_7.sce b/3808/CH6/EX6.7/Ex6_7.sce
new file mode 100644
index 000000000..d1b2a36c2
--- /dev/null
+++ b/3808/CH6/EX6.7/Ex6_7.sce
@@ -0,0 +1,20 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function res=permutation(n,r) //function definition
+i=n
+res=1
+l=(n-r)+1
+u=n
+for i=l:u //computing the permutation
+res=res*i
+end
+return res
+endfunction
+
+num=input("Enter the number of people:")
+perm=input("Enter the number of prizes:")
+result=permutation(num,perm)
+mprintf("The number of ways to decide the prize winners is %d ",result) 
diff --git a/3808/CH6/EX6.8/Ex6_8.sce b/3808/CH6/EX6.8/Ex6_8.sce
new file mode 100644
index 000000000..f3d23d608
--- /dev/null
+++ b/3808/CH6/EX6.8/Ex6_8.sce
@@ -0,0 +1,20 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function res=permutation(n,r) //function definition
+i=n
+res=1
+l=(n-r)+1
+u=n
+for i=l:u 
+res=res*i
+end
+return res
+endfunction
+
+num=input("Enter the number of runners:")
+perm=input("Enter the number of prizes:")
+result=permutation(num,perm)
+mprintf("The number of ways to decide the prize winners is %d ",result) 
diff --git a/3808/CH6/EX6.9/Ex6_9.sce b/3808/CH6/EX6.9/Ex6_9.sce
new file mode 100644
index 000000000..7ebf8aec9
--- /dev/null
+++ b/3808/CH6/EX6.9/Ex6_9.sce
@@ -0,0 +1,17 @@
+//Chapter 06: Counting
+
+clc;
+clear;
+
+function res=citycal(n) //function definition
+i=n
+res=1
+for i=1:n-1 
+res=res*i
+end
+return res
+endfunction
+
+num=input("Enter the number of cities:")
+result=citycal(num)
+mprintf("The number of possible ways to decide the path is %d ",result)