5 nickels in a quarter
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Assuming nickles, dimes, and quarters, there are ten different ways to make change for a half dollar. Just enumerate the combinations... 10 n 8 n 1 d 6 n 2 d 4 n 3 d 2 n 4 d 5 d 5 n 1 q 3 n 1 d 1 q 1 n 2 d 1 q 2 q
1 q 1 d 1 q 2 n 2 d 3 n 3 d 1 n 1 d 5 n 7 n
Because sometimes there will be things leftover and you can't split it all up in the question.
You can use a normal distribution to approximate a binomial distribution if conditions are met such as n*p and n*q is > or = to 5 & n >30.
5n + 10d + 25q = 435; d = n + 3 and q = n + 5 5n + 10(n + 3) + 25(n + 5) = 435 5n + 10n + 30 + 25n + 125 = 435 5n + 10n + 25n = 435 - 30 - 125 40n = 280 n = 7 so d = 10 and q = 12 (35c + $1.00 + $3.00 = $4.35)