This exercise refers to a standard deck of playing cards. Assume that 6 cards are randomly chosen from the deck. How many hands contain exactly 3 kings?

Respuesta :

The number of the hands contains exactly 3 kings will be 69184.

What is a combination?

Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

This exercise refers to a standard deck of playing cards.

Assume that 6 cards are randomly chosen from the deck.

Then the number of the hands contains exactly 3 kings will be

In a deck of 52 cards, there are exactly 4 Kings.

From the 4 kings, 3 king cards can be chosen in ⁴C₃ ways = 4

The remaining 3 cards can be chosen from the rest of 48 cards will be

⁴⁸C₃ ways = 17296

So total hands containing exactly 3 kings = 4 × 17296 = 69184

More about the combination link is given below.

https://brainly.com/question/11732255

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