SOLUTION: An English reading list has 10 American novels and 7 English novels. A student must read 4 from the list, and at least 2 must be American novels. In how many different ways can the
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Question 1206059: An English reading list has 10 American novels and 7 English novels. A student must read 4 from the list, and at least 2 must be American novels. In how many different ways can the 4 books be selected?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
10 American and 7 English; choose 4, with at least 2 of them American.
2 American and 2 English: (10 choose 2) times (7 choose 2) = 45*21 = 945
3 American and 1 English: (10 choose 3) times (7 choose 1) = 120*7 = 840
4 American and 0 English: (10 choose 4) times (7 choose 0) = 210*1 = 210
Total: 945+840+210 = 1995
ANSWER: 1995
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