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In how many ways can the letters of the ...

In how many ways can the letters of the word PERMUTATIONS be arranged if the (i) words start with P and end with S, (ii) vowels are all together, (iii) there are always 4 letters between P and S?

Text Solution

Verified by Experts

(i) `P ----------S`
`=(10!)/(2!)`
(ii) `--------`
`= (8!)/(2!) * 5!`
(iii) ` P ---- S`
`(.^10P_4*7!*2)/(2!)`
`= .^10P_4*7!`
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