Astandard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades. how many 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.

combinations.

Step-by-step explanation:

Given : A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades.

To find : The combination of 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade.

Solution : Total 7 cards are in hand out of 52 cards in which,

2 hearts out of 13 hearts

2 diamonds out of 13 diamonds

2 clubs out of 13 clubs

1 spade out of 13 spades

As order doesn't matter,

Therefore the combination is

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