A bag contains 16 poker chips: 6 red poker chips, seven blue poker chips, and 3

Question

A bag contains 16 poker chips: 6 red poker chips, seven blue poker chips, and 3 gold poker chips. Each of the poker chips is also numbered with a unique number from 0 to 15, inclusive. 6. a) (2 points) If all 16 poker chips are drawn without replacement, how many sequences of numbers are possible (without regard for the color of the chips)? b) (3 points) If all 16 poker chips are drawn without replacement, how many different color sequences are possible (without regard for the numbers on the chips)? (Consider all poker chips of a given color to be interchangeable, and "the same" in this context.) A particular game of chance at a state fair costs $4 to nlay. The game has the following

Explanation / Answer

a) as fr first number we have 16 choices ; for second 15 and so on.........

therefore total number of possible sequence =16! =20922789888000

b)

number of ways to arrange 6 red ; 7 blue and 3 gold poker chips =16!/(6!*7!*3!) =960960

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