Question

A park bench can seat 4 people. How many seating arrangements are possible if 4 people out of a group of 14 want to sit on the park bench

Answer 1

Answer:

Step-by-step explanation:

Permutation had to do with arrangement.

Arranging r people out of the pool of n people can be done in nPr number of ways

nPr = n!/(n-r)!

From the question, we want to know how many seating arrangements are possible if 4 people out of a group of 14 want to sit on the park bench, the can be done in 14P3 number of Ways

14P3 = 14!/(14-3)!

14P3 = 14!/11!

14P3 = 14×13×12×11!/11!

14P3 = 14×13×12

14P3 = 2184 ways

This means that they can be arranged in 2184 number of ways