In how many ways can 3 person study groups be selected from a class of 25 students? Note: Cr n! r!(n-r)! n www Enter

QAmmunity.org

My account
Edit my Profile
Private messages
My favorites

Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question

asked Oct 14, 2023 152k views

4 votes

In how many ways can 3

person study groups be
selected from a class of 25
students?
Note: Cr
n!
r!(n-r)!
n
www
Enter

In how many ways can 3 person study groups be selected from a class of 25 students-example-1

Mathematics
college

Datenwolf asked

by Datenwolf

8.2k points

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

14 votes

Answer: 2300

Work Shown:

$_(n) C _(r) = (n!)/(r!(n-r)!)\\\\_(25) C _(3) = (25!)/(3!*(25-3)!)\\\\_(25) C _(3) = (25!)/(3!*22!)\\\\_(25) C _(3) = (25*24*23*22!)/(3!*22!)\\\\ _(25) C _(3) = (25*24*23)/(3!)\\\\ _(25) C _(3) = (25*24*23)/(3*2*1)\\\\ _(25) C _(3) = (13800)/(6)\\\\ _(25) C _(3) = 2300\\\\$