Question

Kiersten has performed in a half dozen Broadway plays. She wants to display the posters for those shows in a row on her living room wall. How many ways could she arrange the posters?

A. 12
B. 720
C. 239,500,800
D. 479,001,600

Answer 1

Kiersten can arrange the 6 Broadway play posters in 720 different ways, calculated by taking the factorial of 6, which is 6 × 5 × 4 × 3 × 2 × 1.

Step-by-step explanation:

The question involves calculating the number of ways Kiersten can arrange her half dozen Broadway play posters in a row. Half dozen translates to 6 posters. When arranging 'n' unique items in a row, the number of possible arrangements is given by the factorial of 'n', which is represented as n!. So, we're looking for 6! (6 factorial), which is the product of all positive integers from 1 to 6.

This calculation can be performed as follows:

1. 6 × 5 × 4 × 3 × 2 × 1 = 720

Therefore, Kiersten can arrange the 6 Broadway play posters in 720 different ways. The correct answer to this combinatorial problem is option B. 720.