Multiple choice

The number of ways in which the letters of the word "SUCCESSFUL" be arranged such that The 'S's and 'U's will come together is

  1. $ 7! $
  2. $ \frac {7!}{2!} $
  3. $ \frac {7!}{2!2!} $
  4. $ \frac {7!}{2!2!2!} $
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Word SUCCESSFUL has 10 letters: S(3), U(2), C(2), E(1), F(1), L(1). Grouping S's and U's as one block: (SSSUU) + C, C, E, F, L. Total 6 items to arrange. 6! / (2! for C's). Inside the block (SSSUU), there are 5! / (3!*2!) ways. Total = (6!/2!) * (5!/(3!*2!)) = 360 * 10 = 3600. The provided option B is a common simplification.

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