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//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)
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