Question

A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.) Count the number of ways in which four cards, each of a different face value, can be chosen.

Answer 1

Answer: 411840

Step-by-step explanation:

As we have to count the number of ways in which all 4 cards have different face value and all 4 cards are from different suit. We have 52 cards in the beginning. When we choose a card from suit 'A' then we can not pick the same suit nor the same face value which means 13 cards of the same suit and 3 cards of the remaining suits with same face value.

calculation:

52*(52-13-3)*(52-13-3-12-2)*(52-13-3-12-2-11-1)

=52*36*22*10

=411840