Question

Find the number the number of ways of arranging the letter of the word STATISTICS so that (i) all the S’s are together and all the S’s does not occur together (ii) the vowels and consonants occur together

Answer 1

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Answer 2

Number of vowels =4

(MTHMTCS) (AEAI)

In first group there are 2 M and 2 T

In second group 2 A's are present.

total number of words can be arranged by placing consonents together is

8!/((2!*2!)

total number of words can be arranged by placing vowels together is

4!/2!

By using MATHEMATICS and placing vowels together we can form

8!*4!/((2!*2!)(2!))=120960

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