The number of words can be formed with the letters of the word PATALIPUTRA in which the relative positions of vowels & consonants remain same is

3600

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360

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2400

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240

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Solution

The correct option is B $3600$
The vowels A, A, A, I, U can be arranged in $\frac{5!}{3!} = 20$ ways.
The consonants P, P, T, T, L, R can be arranged in $\frac{6!}{2! 2!} = 180$ ways.
Hence, answer = $20 \times 180 = 3600$ .
Hence, (a) is correct.

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The number of words can be formed with the letters of the word PATALIPUTRA in which the relative positions of vowels & consonants remain same is

The correct option is B 3600The vowels A, A, A, I, U can be arranged in 5!3!=20 ways.The consonants P, P, T, T, L, R can be arranged in 6!2!2!=180 ways.Hence, answer = 20×180=3600.Hence, (a) is correct.

The correct option is B $3600$
The vowels A, A, A, I, U can be arranged in $\frac{5!}{3!} = 20$ ways.
The consonants P, P, T, T, L, R can be arranged in $\frac{6!}{2! 2!} = 180$ ways.
Hence, answer = $20 \times 180 = 3600$ .
Hence, (a) is correct.