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A) An organization has 22 Math majors and 26 English majors. A fund-raising committee of 7...

A) An organization has 22 Math majors and 26 English majors. A fund-raising committee of 7 members is selected at random. In how many ways can at least one English major be on the fund-raising committee?

B) Suppose it is known that 4 out of 40 batteries shipped to an auto parts store are defective. A fleet manager then buys 7 of the batteries from the store. What is the probability that at least 3 of the batteries purchased by the fleet manager are defective?

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