ANSWERS: 1
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List equally likely possibilities: There are "22 choose 8" different possibilities for picking eight coins from the 22 coins given. "22 choose 8" is 22C8 = (22*21*20*19*18*17*16*15)/(8*7*6*5*4*3*2*1) How many ways match the question: Number of ways of choosing the dimes = 7C3 Number of ways of choosing the nickels = 5C4 Number of ways of choosing the quarter = 10C1 Number of ways of choosing all the given coins = 7C3 * 5C4 * 10C1 Probability = (7C3 * 5C4 * 10C1) / (22C8) Hopefully, when you write it out in full, most of the numbers will cancel nicely.
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