Question

Use the following experiment. A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards.

Count the number of ways in which four 5's can be chosen.

Answer 1

Since we are interested in choosing four 5's, there are four 5's in a standard deck of playing cards, one in each suit (hearts, diamonds, clubs, and spades).

Therefore, we can choose one 5 from each of the four suits, giving us a total of 4 choices.

So, the number of ways in which four 5's can be chosen is simply 4.