Chapter 13.1, Problem 3CYP

(a)

To determine

To find the number of possible outcomes for each situation.

Answer to Problem 3CYP

  $32$

Explanation of Solution

Given:

The answer sheet shown is completed.

Calculation:

There are total $4$ ways for each first six questions and total $2$ ways to complete the last four questions.

Therefore total number of ways are −

  $6\times 4+2\times 4=24+8=32$

(b)

To determine

To find the number of possible outcomes for each situation.

Answer to Problem 3CYP

  $1296$

Explanation of Solution

Given:

A die is rolled $4$ times.

Calculation:

There are $6$ faces on die.

Therefore total number of waysif a die is rolled $4$ times are −

  $6^4=1296$

(c)

To determine

To find the number of possible outcomes for each situation.

Answer to Problem 3CYP

  $168$

Explanation of Solution

Given:

A pair of women’s shoes comes in whole sizes $5$ through $11$ in red, navy, brown or black. They can be leather or suede and come in three different widths.

Calculation:

The total numbers $5$ through $11$ is $7$

The total number of ways are −

  $7\times 4\times 2\times 3=168$