Question
Question: Four dice are rolled. The number of possible outcomes in which at least one die shows 2 is...
Four dice are rolled. The number of possible outcomes in which at least one die shows 2 is
A
1296
B
625
C
671
D
None
Answer
671
Explanation
Solution
The total number of possible outcomes is 64. The number of possible outcomes in which 2 does not appear on an die is 54, so that tens digit of 10! + 11! + …+49! is zero. Therefore, the number of possible outcomes in which at least one die shows a 2 is 64 – 54 = 1296 – 625 = 671.