Question

Selecting 3 coins, assume 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?

Answer 1

There are 6 possible ways to select 3 coins with a value of at least 25 cents.

Step-by-step explanation:

To calculate the number of possible ways to select 3 coins with a value of at least 25 cents, we need to consider the different combinations of dimes, nickels, and quarters.

Let's break it down:

1. If we select all 3 quarters, the value would be exactly 75 cents. This is the only possible way to achieve a value of at least 25 cents in this case.
2. If we select 2 quarters and 1 dime, we have 2 options: either both quarters and the dime are selected, or one quarter and the dime are selected with one quarter left out.
3. If we select 1 quarter, 1 dime, and 1 nickel, we have 3 options: each coin can be selected with one of the other coins.

Therefore, there are a total of 1+2+3 = 6 possible ways to select 3 coins with a value of at least 25 cents.

Answer 2

the answer is that there are two ways to pick 3 coins and get 25 cents.