A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)Consider the event that four cards, each of a different face value, are chosen.How many choices are available for each card?
Question
A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)Consider the event that four cards, each of a different face value, are chosen.How many choices are available for each card?
Solution
For the first card, there are 52 choices (13 cards from each of the 4 suits).
For the second card, you have 48 choices left because you've already chosen one card and it can't be of the same face value as the first card.
For the third card, you have 44 choices left because you've already chosen two cards and neither can be of the same face value as the third card.
For the fourth card, you have 40 choices left because you've already chosen three cards and none can be of the same face value as the fourth card.
So, there are 52 choices for the first card, 48 for the second, 44 for the third, and 40 for the fourth.
Similar Questions
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