Question

find the number of ways of arranging the letters of the wosd MONDAY so that no vowel occupies Even place​

Answer 1

In the word MONDAY there are two vowels, 4 consonants and three even places, three odd places.

Since no vowel occupies even place, the two vowels can be filled in the three odd places in 3P2 ways.

The 4 consonants can be filled in the remaining 4 places in 4! ways.

∴ The number of required arrangements= 3P2 × 4! = 6 × 24 = 144

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