Multiple choice

The number of ways can the letters of the word ASSASSINATION be arranged so that all the S are together is

  1. 151200

  2. 15120

  3. 1512

  4. 152100
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A Correct answer
Explanation

Word: ASSASSINATION. Letters: A(3), S(4), I(2), N(2), T(1), O(1). Total 13 letters. Treat SSSS as one unit. Total units = 10. Arrangements = 10! / (3! * 2! * 2!) = 3628800 / (6 * 2 * 2) = 151200.

AI explanation

The word ASSASSINATION has 13 letters where S appears 4 times, A appears 3 times, I appears 2 times, and N appears 2 times. Treating all four S letters as a single unit reduces the total items to arrange to 10. Using the permutation formula for repeated items, the number of arrangements is 10! divided by the product of 3!, 2!, and 2!, which is 3628800 divided by 24. The total number of ways is 151200.

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