17.) A hand of 5 cards is dealt in a poker game. How many poker hands are possible with: (a) exactly 3 Jacks? (b) only one color (red or black)? (c) a full house (3 of one kind of card and 2 of another)?

17.) A hand of 5 cards is dealt in a poker game. How many poker hands are possible with: (a) exactly 3 Jacks? (b) only one color (red or black)? (c) a full house (3 of one kind of card and 2 of another)?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...

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Question

Note: In this problem set, the notation C(n, k) is used for
the combination "n choose k." Alternate notation: ( )

17.) A hand of 5 cards is dealt in a poker game. How many poker hands are possible with:
(a) exactly 3 Jacks?

(b) only one color (red or black)?

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