In how many ways can 4 cards be drawn from a well-shuffled deck of 24 playing cards?

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Аноним Аноним · Answer 1 · 2018-04-11T13:12:12+02:00

[tex]\text {Number of ways = } \dfrac{24 \times 23 \times 22 \times 21}{4 \times 3 \times 2 \times 1} = \dfrac{255024}{24} = 10626[/tex]

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fichoh fichoh · Answer 2 · 2021-10-22T11:30:28+02:00

Using the principle of combination, the number of ways of drawing 4 cards from a deck of 24 cards is 10626 ways

We use combination since the order of selection does not matter.

Recall :

nCr = n! ÷ (n - r)!r!

24C4 = 24! ÷ (24 - 4)!4!

24C4 = 24! ÷ 20!4!

24C4 = (24 × 23 × 22 × 21) ÷ (4 × 3 × 2 × 1)

24C4 = 10626 ways

Therefore, there are 10626 ways of drawing 4 cards from a total of 24.

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