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

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Advance Math

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

(a) How many collections of 6 (not necessarily distinct) coinscan be made from an infinite supply of pennies, nickels, dimes, andquarters?

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

n1n2n3 . . . n9

such that ni ? ni+1 for i = 1 to 8?

For example, 024455888 would count but 254180419 would notcount

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