Question #7: A study group is to be selected from 5 freshman, 7 sophomores, and 4 juniors
A) If a study group is to consist of 2 freshman, 3 sophomores, and 1 junior, how many different ways can the study group be selected?
B) If a study group consisting of 6 students is selected, what is the probability that the group will consist of 2 freshmen, 3 sophomores and 1 junior?
Step 1:
Freshman= 5
Sophomore= +7
Junior= 4
16
Step 2:
x= 2
X=+3
x= 1
X= 6
Step 3:
(a) (5C2)(7C3)(4C1)= (10)(35)(4)=1400 WAYS
Answer =1400 ways
Step 4:
(b) P (A)= (5C2)(7C3)(4C1) divded by 16C6= 1400 over 8008= .1748
Answer =.1748
You’ve got the key formulas and steps here – good job! Could you add some explanation of what you are doing, and why, in each step? That would be a big help to students who are trying to figure out how to solve this problem. Thanks!
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