Question

Find the number of ways of arranging the letters of the word MONDAY so that no vowel occupies even place

Answer 1

Answer:

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

2. 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! ...

3. ∴ The number of required arrangements.

4. = 3P2 × 4! =

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Answer 2

Answer:

#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! ...

#∴ The number of required arrangements.

= 3P2 × 4! =

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