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Count the distinct arrangements of the letters of TOMATO.

Competition practicePermutations & Combinations

A360
B180
C720
D90

Step-by-Step Solution

6 letters: T twice, O twice, M and A once.

\frac{6 !}{2 ! 2 !} = \frac{720}{4} = 180

. (360 divides by only one

2! .

)

Answer: B) 180

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