1. Find the number of permutations that can be had from the letters of the word 'OMEGA' such that

i) O & Aoccupy odd places

ii) E always occupies the middle place

iii) Vowels occupy odd places

iv) All the vowels are never together

Dear Student Your friend has provided the correct answer.

@Harmeet: Good effort! Keep posting!

**For part(1):**

**Second step:** O and A are two letters to be arranged = ^{3}p_{2}.2!

(**Explanation: **Two letters O and A can be arranged in three odd place in ^{3}p_{2} ways.

Now, these two letters can be arranged among themselves in 2! ways.

So, no. of ways to arrange O and A = ^{3}p_{2}.2!)

Rest everything is same.

Got it!

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