Question

How many ways can 7 basketball players be listed in order in a program? A. 5,040 B. 720 C. 120 D. 1

Answer 1

Since the order of basketball players is important, permutation is used. The problem could be interpreted as the permutation of 7 taken 7 at a time

nPr = n! /(n-r)! = 7! /0! = 5040 ways.

The answer is A.

Answer 2

A. 5040

Explanation:

Number of players of the basketball = 7 and these players are to be listed in order in a program.

Since in any question if order is important then permutation is used and if order does not matters combination is applied.

Therefore for this question where 7 basketball players are to be listed in order, means order matters so permutation is to be used.

`nPr=(n!)/((n-r)!)=7!/(7-7)!=7!/0! = 7! = 7.6.5.4.3.2.1 = 5040`

Therefore option A 5040 is the right answer.