272,646 views
11 votes
11 votes
You have one penny, one nickel, one dime, and one quarter. How many different amounts of money can you make using

one or more of these coins?

User Sebastian Kreft
by
2.8k points

1 Answer

21 votes
21 votes

Answer:

15

Explanation:

To find the total number of combinations you can make with these four coins, we have to do 2 to the power of the total amount of coins. This because each coin has two choices: to be included in the combination or not. There are 4 total coins, and 2^4 is 16. There are 16 total combinations. But since one of those possibilities are that none of the coins are included, we subtract 1 from the total, and get 15. There are 15 combinations with 1 or more coins, which each give us different amounts.

User Swihart
by
2.9k points