How many words can be made out of the letters of word lsquo POUNDING rsquo such that all vowels occu...........

Quantitative Aptitude ( CCS) Permutation & Combination

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How many words can be made out of the letters of word ‘POUNDING’ such that all vowels occupy odd places?

1440

1400

7200

5600

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Explanation:

In POUNDING, there are 8 places
1 2 3 4 5 6 7 8
So for 3 places selection of vowels, we have 1, 3, 5, 7 number places 4C3 ways
Now for arranging these 3 vowels, ways are 3!
Remaining 5 are consonants (in which there are 2 N’s) for which 5!/2!
so total ways = 4C3*3!*(5!/2!) = 1440