Question

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

Answer 1

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\\\\`