Posted by **Shawn** on Wednesday, September 15, 2010 at 10:41pm.

selecting three (3) coins, but assume that there are 5 dimes, 4 nickels, and 2 quarters.

In how many possible ways can the selection be made so that the value of the coins is at least 25 cents?

- math -
**Reiny**, Wednesday, September 15, 2010 at 10:58pm
The only possible cases are, hope I did not miss any

DDD - 30

DDN - 25

DDQ - 45

DNN - 20

DNQ - 40

DQQ - 60

NNN - 15

NNQ - 35

NQQ - 55

How many of these amount to at least 25 cents?

(notice that the fact that we have 5 dimes and 4 nickels is of no consequence, since we can use at most 3, but the 2 quarters limits the cases)

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