In how many ways can a music teacher arrange 24 students in 3 rows? 12,144 9240 10,626 7980
Mathematics · High School · Tue Nov 03 2020
Answered on
Determine how many ways can a music teacher arrange 24 students in 3 rows.
Solution:
In order to determine the number of ways the music teacher can arrange 24 students in 3 rows, we can simply use the combination formula,
nCr = n! /r! (n -r)!
! Stands for factorial which means that the number will be multiplied to its decreasing value until the number 1.
n = 24
r = 3
Substitute the given values of n and r to the formula.
24C3 = 24!/3! (24 - 3)!
24C3= 24!/3! 21!
24C3 = 24 x 23 x 22 / 3 x 2 x 1
24C3 = 12,144/6
24C3 = 2024 ways
Final answer:
2024 ways