Suppose that 40 batteries are shipped to an auto parts store, and that 4 of those are defective. A fleet manager then buys 8 of the batteries from the store. In how many ways can at least 3 defective batteries be included in the purchase?

Question

Nathan Hinton

Mathematics

3 April, 15:04

Suppose that 40 batteries are shipped to an auto parts store, and that 4 of those are defective. A fleet manager then buys 8 of the batteries from the store. In how many ways can at least 3 defective batteries be included in the purchase?

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Answers (1)

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Oswaldo Baird · Answer 1

From the given above, we will include the case in which 3 and all 4 defectives are included in the purchase.

For 3:

(36C5) x (4C3) = 1507968

For 4:

(36C4) x (4C4) = 58905

Adding these numbers will give us an answer of 1566873.