Solveeit Logo

Question

Mathematics Question on Permutations

The number of permutations of taking all letters and keeping the vowels of the words in the odd places is

A

9696

B

144144

C

512512

D

576576

Answer

576576

Explanation

Solution

Number of odd places 1,3,5,71, 3, 5, 7 i.e., 44 Vowels are O,I,EO, I, E \therefore reqd. number of ways =4P3×4!=24×24=\,^{4}P_{3}\times4!=24\times24 =576=576