Multiple choice

From a pack of 52 cards, all face cards are removed and four cards are drawn. The probability that they are of different suit and different denomination is

  1. ( 9 10 ) 4

  2. 10 × 9 × 8 × 7 10 4

  3. 10 × 9 × 8 × 7 40 C 4

  4. ( 9 13 ) 4

  5. 9 10
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

After removing the 12 face cards, 40 cards remain, with 10 cards in each denomination. The number of favorable selections is 10 x 9 x 8 x 7, because the four cards must have different denominations and different suits. Dividing by the total number of four-card selections, C(40,4), gives the expression in option C.

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