Choosing from a deck of cards

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 elements in the event that an ace, a king, a queen, and a jack are chosen.

Answer 1

There can be any one of four aces selected; similarly for K, Q and J.

 

So there are 4⁴ ways to satisfy the stated event.  4⁴ = 2⁸ = 256.