Chapter 13, Problem 31SGR

To determine

Calculate number of possible results for a number cube is rolled three times.

Answer to Problem 31SGR

There are 216 possible ways for rolling number cube for three times.

Explanation of Solution

Given:

A number cube is rolled three times.

Calculations:

Here, we have to calculate number of possible results for a number cube is rolled three times.

There are 6 possible outcomes for rolling a cube for one time, as a cube is having six sides.

Thus, we can say that number of possible outcomes for rolling cube for three times is,

  $No.ofresultsforfirsttime\times No.ofresultsfor\sec ondtime\times No.ofresultsforthirdtime=6\times 6\times 6=216$

There are 216 possible results for rolling a cube for three times.

Conclusion:

Therefore, we are able to calculate possible methods to select r numbers from given n numbers.