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The number of words that can be formed with the letter of the

Question

The number of words that can be formed with the letter of the word $EQ U A T I ON$ so that consonants occurs only at even places is

2880

3600

3240

none of these

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Elijah Discussed

The number of words that can be formed with the letter of the word

EQ U A T I ON

so that consonants occurs only at even places is

15 mins ago

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15 mins ago

Text solutionVerified

Vowels are

E, U, A, I, O

Consonants are

Q, T, N

According to the question, for the

3

consonants we have

4

places.

Thus, the consonants can be arranged in

^{4} P_{3}

ways and in the remaining places, vowels can be arranged in

^{5} P_{5}

ways.

∴

Total ways

=^{4} P_{3} \times^{5} P_{5} = 24 \times 120 = 2880.

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Question Text	The number of words that can be formed with the letter of the word $EQ U A T I ON$ so that consonants occurs only at even places is
Answer Type	Text solution:1
Upvotes	150