How many hearts in a deck

Asked by maham237 @ in Mathematics viewed by 286 People

A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades. Howmany 7-card hands are possible with 2 hearts, 2 diamonds, 2 clubs, and 1 spade? Assume that the order of the cards
does not matter, and use the formula for combinations to find your answer.
474,552
6,169,176
49,353,408
133,784,560

Answered by maham237 @


Answer:

133,784,560

Step-by-step explanation:

using the combinations formula: n!/(n-r!)r!, the equation would be 52!/52-7! x 7! which is simplified to 52!/45!7! which is equal to 133,784,560


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