Question

Two cards are chosen in order from a deck. In how many ways can this be done if the first card must be a spade and the second must be a heart?

Answer 1

There are 169 ways to choose two cards, with the first one being a spade and the second one being a heart.

Step-by-step explanation:

If the first card must be a spade and the second must be a heart, we can first count the number of available spades and hearts and then multiply them together. In a deck of 52 cards, there are 13 spades and 13 hearts. So, there are 13 ways to choose the first card (any spade) and 13 ways to choose the second card (any heart). Multiplying these together, we get a total of 169 ways to choose two cards in the specified order.