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

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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) About Me  (Show Source):
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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