SOLUTION: A group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology. A) In how many ways can this be done? B) In how many ways can the gr

Question 264464: A group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology.
A) In how many ways can this be done?
B) In how many ways can the group who will not take part be chosen?
Answer by vksarvepalli(154) (Show Source): You can put this solution on YOUR website!
A group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology.
A) three students out of 12 can be selected in 12C3 ways = 12!/(3!*9!)
= 12*11*10*9!/3*2*1*9!
=12*11*10/3*2*1
=220 ways
B) no. of ways to chose the group who will not take part will be 12C9
which will be obviously equal to 12C3 = 220 ways
RELATED QUESTIONS
A group of 3 students is to be selected from a group of 12 students to take part in a... (answered by stanbon)

I need help in these two problems: Problem#1 A group of 3 students is to be selected... (answered by stanbon)

in how many ways can 3 students be selected from a group of 5 students? (answered by ewatrrr)

In how many different ways a group of 7 students can be selected from a class 25 students (answered by ewatrrr)

In a class of 25, How many ways can a group of five students be... (answered by jim_thompson5910)

In how many ways can a group of 7 students be selected from 8... (answered by ewatrrr)

in how many ways can a study group of four be selected from a class of 24... (answered by edjones)

In a class of 20 students, a group of 5 students is selected to work on a project. How... (answered by solver91311)

a class of 25 students has 13 men and 12 women. A group of 4 students is being chosen to... (answered by Boreal)