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Diffstat (limited to '1553/CH30/EX30.6/30Ex6.sce')
| -rw-r--r-- | 1553/CH30/EX30.6/30Ex6.sce | 15 |
1 files changed, 15 insertions, 0 deletions
diff --git a/1553/CH30/EX30.6/30Ex6.sce b/1553/CH30/EX30.6/30Ex6.sce new file mode 100644 index 000000000..e8c47b045 --- /dev/null +++ b/1553/CH30/EX30.6/30Ex6.sce @@ -0,0 +1,15 @@ +//Chapter 30 Ex6
+clc;
+clear;
+close;
+
+S={'E','X','T','R','A'};
+sizeS=size(S,"c");
+n=4; //since there are 3 vowels, they are considered as 1 letter
+reqLetters=n; //since all the letters are required
+noLetters=factorial(n)/factorial(n-reqLetters);
+reqVowels=2; //since vowels are required to be together
+noWays=factorial(reqVowels); //no of ways in which vowels can be arranged together
+noWords=factorial(n)/factorial(n-reqLetters);
+noWordsAll=factorial(sizeS); //no of words using all letters
+mprintf("The required number of words having vowel together are %.0f\n The no of words having each vowel never together are %.0f",noWords*noWays,noWordsAll-noWords*noWays);
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