When 8 dice (six-sided) are rolled, calculate the number of outcomes in which at least one die shows 5.
1188901
1088891
1288991
1388910
Given that,
The dice are rolled 8 times.
The permutation with repetition is given by .
The total number of possible outcomes is .
Thus,
The total number of outcomes, when no 5 appears, is
So, the total number of possible outcomes is given by,
Therefore, the number of possible outcomes is 1288991 .
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