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The number of possible outcomes in a thr...

The number of possible outcomes in a throw of n ordinary dice in which at least one of the dice shows an odd number is

A

`6^(n)-1`

B

`3^(n)-1`

C

`6^(n)-3^(n)`

D

`6^(n)-5^(n)`

Text Solution

Verified by Experts

The correct Answer is:
C
The total number of ways is `6xx6xx…` to n times `=6^(n)` the total number of ways to show only even number is `3xx3`… to n times `=3^(n)` therefore the required number of ways is `6^(n)-3^(n)`.
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