Question

In the Greater Knightrola Small Monster Association (GKSMA), how many different ways can the four chartered positions (president, vice president, treasurer, and secretary) and the 12 officers chosen at large be filled, considering no member can hold more than one position?

A) 52,425
B) 117,600
C) 2,118,750
D) 4,550,400

Answer 1

It’s one of those answers of that question a

Answer 2

In the GKSMA, there are 24 ways to fill the chartered positions and 479,001,600 ways to choose the officers, resulting in a total of 11,496,038,400 different ways.

Step-by-step explanation:

In the GKSMA, the four chartered positions can be filled in 4! (4 factorial) ways, which is equal to 4 x 3 x 2 x 1 = 24 ways. After filling the chartered positions, there are 12 remaining officers. These 12 officers can be chosen at large in 12! (12 factorial) ways, which is equal to 12 x 11 x 10 x ... x 1 = 479,001,600 ways.

Since no member can hold more than one position, the total number of different ways to fill the positions and officers is obtained by multiplying the number of ways to fill the chartered positions with the number of ways to choose the officers. Therefore, the total number of different ways is 24 x 479,001,600 = 11,496,038,400 ways.