Find the number of ways six cards of the same suit can be drawn from a standard

Question

Find the number of ways six cards of the same suit can be drawn from a standard 52-card deck of cards. a. How many ways can the suit be chosen? b. How many ways can the six cards from the suit be chosen? c. How many ways can the hand be chosen? Which problem-solving strategy would best suit this problem? Choose the correct answer below. Guessing is OK The Always Principle Look for Patterns Be Systematic a. How many ways can the suit be chosen? It can be chosen in ways. b. How many ways can the six cards from the suit be chosen? They can be chosen in ways. c. How many ways can the hand be chosen? It can be chosen in ways.

Explanation / Answer

C. Look for patterns

a) There are 4 suits

b) 13 cards in each suits, so we can choose 13C6 ways =1716

c) 4suits and 1716 ways =4*1716 ways =6864 ways

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