Use stars and bars to solve each counting problem. You may leave your answers as binomial...

Use stars and bars to solve each counting problem. You may leave your answers as binomial coefficients.

(a) How many collections of 6 (not necessarily distinct) coins can be made from an infinite supply of pennies, nickels, dimes, and quarters?

(b) A social security number is a sequence of 9 digits. How many social security numbers are there

n1n2n3 . . . n9

such that ni ≤ ni+1 for i = 1 to 8?

For example, 024455888 would count but 254180419 would not count

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Expert Solution

Colby Messinger answered 6 months ago

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