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1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a table. In how many ways can this be done such that a. the last two cards are face cards? b. only the last two cards are face cards? c. all cards are of the same suit (e.g., all are clubs or all are diamonde) or

1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a table. In how many ways can this be done such that a. the last two cards are face cards? b. only the last two cards are face cards? c. all cards are of the same suit (e.g., all are clubs or all are diamonde) or

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 4SC
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1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a table. In how many ways can this be done such that a. the last two cards are face cards? b. only the last two cards are face cards? c. all cards are of the same suit (e.g., all are clubs or all are diamonds) d. all cards are of a different suit? e. there are at least two cards of the same suit? f. all are clubs or all are red cards? g. exactly one is a number (non-face) card?
Transcribed Image Text:1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a table. In how many ways can this be done such that a. the last two cards are face cards? b. only the last two cards are face cards? c. all cards are of the same suit (e.g., all are clubs or all are diamonds) d. all cards are of a different suit? e. there are at least two cards of the same suit? f. all are clubs or all are red cards? g. exactly one is a number (non-face) card?
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