Chapter 0.4, Problem 1E

To determine

To find: the different combinations of sandwich, side and beverage are possible.

Answer to Problem 1E

The number of possible combinations can be $60$ .

Explanation of Solution

Given:

Concept used:

The number of ways of arranging $n$ different item in order is $n_1\times n_2\times n_3\times \mathrm{....}{n}_n$ .

The probability formula is used to compute the probability of an event to occur as:

  $P\left(A\right)=\frac{\text{Number of favorable outcome}}{\text{Total Number of favorable outcomes}}$ .

Calculation:

Consider the table provided in the textbook.

Consider the $5$ sandwich, $3$ sides and $4$ beverages.

The number of possible combinations of sandwich, sides and beverages by the use of fundamental counting principle as follows.

Number of different combinations $=5\times 3\times 4=60$ .

Hence, the number of possible combinations can be $60$ .