Chapter 14, Problem 17STP

(a)

To determine

To find the different combinations of shirt paint and tie she can make.

Answer to Problem 17STP

  $72$

Explanation of Solution

Given:

Naomi wears a uniform that consists of a shirt, a pair of pants, and a tie. She has $6$ uniform shirts, $3$ uniform pants and $4$ uniform ties.

Calculation:

The number of different combinations she can make is-

  $6\times 3\times 4=72$

(b)

To determine

To find the different combinations of shirt and pants she can make.

Answer to Problem 17STP

  $18$

Explanation of Solution

Given:

Naomi wears a uniform that consists of a shirt, a pair of pants, and a tie. She has $6$ uniform shirts, $3$ uniform pants and $4$ uniform ties.

Calculation:

The number of different combinations of shirt and pants she can make is-

  $6\times 3=18$

(c)

To determine

To find the probability that she wears a red shirt for the first two days.

Answer to Problem 17STP

  $\frac{1}{15}$

Explanation of Solution

Given:

Two of her shirts are red, $3$ are blue and $1$ is white.

Calculation:

The total number of shirts are $2+3+1=6$

Now, the probability that she wears a red shirt for the first two days is-

  $\frac{2}{6}\times \frac{1}{5}=\frac{2}{30}=\frac{1}{15}$