Chapter 11.6, Problem 38E

a.

To determine

To calculate: thenumber of arrangement of the letters R,A and T .

Answer to Problem 38E

the number of arrangement of the letters is $6$ .

Explanation of Solution

Given :

given letters =R,A,T

Calculation :

for arrangement of the letters the number of arrangements is equal to factorial of no of letters.

  $\begin{array}{l}3!=3·2·1\text{ [substitute n by 3]}\\ \text{3!=6 [multiply]}\end{array}$

Hence,the number of arrangement of the letters is $6$ .

a.

To determine

To calculate: the probability of word RAT.

Answer to Problem 38E

the probability to get word RAT is $\frac{1}{6}$ .

Explanation of Solution

Given :

given letters =R,A,T

Calculation :

there is only one possibility to get a word RAT so divide it by the total possibilities,

probability = $\frac{1}{6}$

Hence,the probability to get word RAT is $\frac{1}{6}$