Multiple choice

There are 52 cards in a deck. 5 cards are selected at random from black coloured cards. In how many different ways the cards can be selected?

  1. 60,152

  2. 63,250

  3. 64,250

  4. 65,780

  5. 66,000
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D Correct answer
Explanation

A standard deck has 26 black cards. Selecting 5 cards from 26 is calculated as 26C5 = (26 * 25 * 24 * 23 * 22) / (5 * 4 * 3 * 2 * 1) = 65780.

AI explanation

A deck contains 26 black cards, so we must find the number of combinations of 5 items chosen from 26. Using the combinations formula, we calculate 26 factorial divided by the product of 5 factorial and 21 factorial. This gives (26 x 25 x 24 x 23 x 22) divided by (5 x 4 x 3 x 2 x 1), which equals 65,780. The number of different ways to select the cards is 65,780.

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