How many ways can you make 50 cents using pennies,nickels,dimes, and quarters?

Question

i need an answer so if u could please help me i would be greatful thx

Answer 1

EDIT: Updated from original 12x12

There don't seem to be many shortcuts.

There appear to be 13 ways to make a quarter:

1Q

2D + 1N

2D + 5P

1D + 3N

1D + 2N + 5P

1D +1N + 10P

1D + 15P

5N

4N + 5P

3N + 10P

2N + 15P

1N + 20P

25P

There are 13 ways to make the first 25 cents, and for each of those, 13 ways to make the other, so looks like 169, plus using 5 dimes, for a total of 170.