Multiple choice general knowledge sports

How many different 9 letter words can be form using the letters of TENDULKAR, so that vowels are always together??

  1. 5040

  2. 8!*3!

  3. 30240

  4. 10!
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

TENDULKAR has 9 letters with 3 vowels (E, U, A) and 6 consonants (T, N, D, L, K, R). Treat the 3 vowels as one block: we arrange 7 items (6 consonants + 1 vowel block) in 7! ways, and arrange the 3 vowels within their block in 3! ways. Total = 7! × 3! = 5040 × 6 = 30240. Option C is correct.

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