How many distinct arrangements are there of the letters of the word STATISTICS?
Answer and explanation
Correct answer: B.
- Step 1: STATISTICS has 10 letters; repeated letters: S (3 times), T (3 times), I (2 times).
- Step 2: Arrangements .
Answer
.
Why not the others: : Repeated letters were treated as different. : The division was by the repeat counts, not their factorials. : Only the most repeated letter was divided out.
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