Put on your math shoes and step right into the Friday Free-for-all challenge here at the mentalfloss.com Brain Game. Good luck!

Leonard has exactly 44 cents in his pocket.
How many different combinations of pennies, nickels,
dimes, and quarters might Leonard have?

Here is the ANSWER.

ANSWER:

31 POSSIBLE COMBINATIONS.

Here they are (penny = 1 cent, nickel = 5 cents, dime = 10 cents, quarter = 25 cents):

44 pennies
39 pennies and 1 nickel
34 pennies and 2 nickels
34 pennies and 1 dime
29 pennies and 3 nickels
29 pennies, 1 nickel, and 1 dime
24 pennies and 4 nickels
24 pennies, 2 nickels, and 1 dime
24 pennies and 2 dimes
19 pennies and 5 nickels
19 pennies, 3 nickels, and 1 dime
19 pennies, 1 nickel, and 2 dimes
19 pennies and 1 quarter
14 pennies and 6 nickels
14 pennies, 4 nickels, and 1 dime
14 pennies, 2 nickels, and 2 dimes
14 pennies and 3 dimes
14 pennies, 1 nickel, and 1 quarter
9 pennies and 7 nickels
9 pennies, 5 nickels, and 1 dime
9 pennies, 3 nickels, and 2 dimes
9 pennies, 1 nickel, and 3 dimes
9 pennies, 2 nickels, and 1 quarter
9 pennies, 1 dime, and 1 quarter
4 pennies and 8 nickels
4 pennies, 6 nickels, and 1 dime
4 pennies, 4 nickels, and 2 dimes
4 pennies, 2 nickels, and 3 dimes
4 pennies and 4 dimes
4 pennies, 3 nickels, and 1 quarter
4 pennies, 1 nickel, 1 dime, and 1 quarter
Thanks for playing, and have a fun and safe weekend.