SOLUTION: Suppose you have pennies, nickels, and dimes in your pocket. If you pull out four coins, what amount of money could you get? How many different amounts?

Question 1067136: Suppose you have pennies, nickels, and dimes in your pocket. If you pull out four coins, what amount of money could you get? How many different amounts?

Found 2 solutions by chen.aavaz, Boreal:
Answer by chen.aavaz(62) (Show Source): You can put this solution on YOUR website!
We have 3 different coins to choose from: P, N and D.
Each time we pull 4 coins in total.
Order is not important and repetition is allowed (that is, we can have multiple of each kind).
Therefore the total number of possible combinations is

These are:
P P P P
P P P N
P P P D
P P N N
P P D D
P P N D
P N N N
P D D D
P N N D
P N D D
N N N N
N N N D
N N D D
D D D D
D D D N
and the respective amounts are:
4
8
13
12
22
17
16
31
21
26
20
25
30
40
35

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
4 ways to choose the first*4 ways to choose the second*4 ways to choose the third or 64 different combinations.
The smallest would be 4 pennies or $0.04
The largest would be 4 dimes or $0.40.
Many of these would give the same amount. There are 37 different possible amounts.
What may be excluded?
4 pennies--4 cents
3 pennies and 1 nickel--8 cents
2 pennies and 2 nickels--12 cents
1 dime and 3 pennies--13 cents
3 nickels 1 penny=16 cents
1 dime 1 nickel 2 pennies=17 cents
4 nickels=20 cents
1 dime 2 nickels 1 penny=21 cents
2 dimes, 2 pennies=22 cents
1 dime, 3 nickels=25 cents
2 dimes, 1 nickel, 1 penny=26 cents
2 dimes, 2 nickels=30 cents
3 dimes, 1 penny=31 cents
3 dimes, 1 nickel=35 cents
4 dimes=40 cents
15 different amounts.

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