Chapter 13.1, Problem 8AYU

To determine

To find: Whether the given statement is true or False.

Answer to Problem 8AYU

Thegiven statement is true.

Explanation of Solution

Given:

It is given that if a task consists a sequence of three choices in which there are p selections for the first choice, q selection for the second choice and r selections for the third choice, then the task of making these selections can be done in pq different ways.

Calculation:

If the first job is performed in any one of the p ways, we can associate with this any one of the qways of performing the second job and thus there are n ways of performing the two jobs without considering more than one way of performing the first, and so corresponding to each ofthe pways of performing the first job, we have q ways of performing the second job. Hence the number of ways in which the two jobs can be performed inpq ways. And that total pq ways can beassociated with any one of the next r ways. Thus by the Fundamental principle of multiplication,that if a task consists of a sequence of three choices in which there are p selections for the firstchoice, q selections for the second choice, and r selections for the third choice, the task ofmaking these selections can be done in p.q.r different ways is TRUE.