SOLUTION: A committee of 5 members is to be selected from 6 seniors and 4 juniors. Fine the number of ways in which this can be done if the committee has at least 1 junior. Multiple

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Question 1161689: A committee of 5 members is to be selected from 6 seniors and 4 juniors.
Fine the number of ways in which this can be done if the committee has at
least 1 junior.

Multiple choice answers:
a. 252
b. 120
c. 246
d. 6
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
If there did not need to be at least one junior, the answer would be

10 students CHOOSE 5, or 10C5 = 252 ways.

From that number we must subtract the number of committees consisting of all
seniors and no juniors, which would be

6 seniors CHOOSE 5, or 6C5 = 6 

Answer: 252-6 = 246 ways.

Edwin