Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?

Permutations and Combinations 14/12/2020

A. 36
B. 81
C. 91
D. 116

Explanation:

When the dice are rolled, the number of possible outcomes = 63 = 216.

Number of possible outcomes in which 2 does not appear on any dice = 53 = 125.

Therefore, Number of possible outcomes in which at least one dice shows 2 = 216- 125 = 91.

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