Question

There are 52 cards in a pack. James is going to give one card to Alice and one card to Ben. How many different ways are there of doing this?

A) 1 way
B) 52 ways
C) 1326 ways
D) 2652 ways

Answer 1

There are 2652 different ways for James to give one card to Alice and one to Ben, calculated by multiplying the 52 choices for Alice's card by the 51 remaining choices for Ben's card. Option D

Step-by-step explanation:

The problem involves determining the number of different ways James can give one card to Alice and one card to Ben from a pack of 52 playing cards, without replacement. Given this scenario, James has 52 options for Alice's card. After giving one card to Alice, there are now 51 cards left for Ben.

To find the total number of different combinations, we multiply the number of choices for Alice's card by the number of choices for Ben's card, which is 52 cards for Alice × 51 cards for Ben. This results in 52 × 51 = 2652 ways to give out the two cards.

Thus, the correct answer is D) 2652 ways.