Multiple choice

In how many ways can 3 diamond cards be drawn simultaneously from a pack of cards?

  1. $78$
  2. $1716$
  3. $286$
  4. $13$
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C Correct answer
Explanation

There are 13 diamond cards in a standard deck. The number of ways to choose 3 cards from 13 is given by the combination formula 13C3 = (13 * 12 * 11) / (3 * 2 * 1) = 13 * 2 * 11 = 286.

AI explanation

A standard pack of cards contains 13 diamond cards. The number of ways to draw 3 diamond cards simultaneously is found using the combination formula nCr. Applying the formula gives 13C3 = 13! / (3! x 10!). Calculating this yields (13 x 12 x 11) / (3 x 2 x 1) = 1716 / 6 = 286.

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