alleryNumber of distinguishable arrangements of letters in 'STATISTICS':
A1!
B10!
C50400 (10!/(3! 3! 2!))
D3628800
Answer & Solution
Correct answer: C. 50400 (10!/(3! 3! 2!))
**STATISTICS has 10 letters:** S(3), T(3), I(2), A(1), C(1).
Distinct arrangements = 10!/(3! × 3! × 2! × 1! × 1!) = 3628800 / 72 = 50400.
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