Permutations & Combinations Mcqs

Q.  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?

a. 36
b. 81
c. 91
d. 116


ANSWER: See Answer
 
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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