SOLUTION: From a bag containing 5 nickels, 8 dimes, and 7 quarters, 5 coins are drawn at random and all at once. What is the probability of getting 2 nickels, 2 dimes, and 1 quarter? 1)Ho

Question 1196111: From a bag containing 5 nickels, 8 dimes, and 7 quarters, 5 coins are drawn at random and all at once. What is the probability of getting 2 nickels, 2 dimes, and 1 quarter?
1)How many ways can the desired selection be made?
2)How many total selections are possible?
3)What is the probability of making the desired selection?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Using the basic definition of "n choose r"....

(1) Choose 2 of the 5 nickels AND 2 of the 8 dimes AND 1 of the 7 quarters:

(2) Choose any 5 of the 5+8+7=20 coins:

(3) Using the basic definition of probability:

Simplify the fraction or convert to a decimal or percent as needed....

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