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There are 43 combinations of various quantities of quarters (0, 1 or 2), dimes (0 to 5), nickels (0 to 10) and pennies (2 to 52) that make 52 cents.
You can make 5 combinations of 1 number, 10 combinations of 2 numbers, 10 combinations of 3 numbers, 5 combinations of 4 numbers, and 1 combinations of 5 number. 31 in all.
14: Quarters Dimes Nickels 0 0 13 0 1 11 0 2 9 0 3 7 0 4 5 0 5 3 0 6 1 1 0 8 1 1 6 1 2 4 1 3 2 1 4 0 2 0 3 2 1 1
1 of 0 elements 5 of 1 elements 10 of 2 element 10 of 3 elements 5 of 4 elements 1 of 5 elements A total of 25 = 32 combinations.
That depends on . . . -- how many digits you want in each combination -- whether it's allowed to repeat the same digit -- whether the order of the digits in the combination matters, i.e. whether you actually want combinations or permutations. Each choice has a different answer.