From a standard deck, how many five-card hands contain the following?

Question

e) one face card

Please explain and show steps, this one was confusing!

Answer 1

Face cards: 12/52 not Face cards: 40/52

Counting method: 12/52 for first card * (40/51)*(39/50)*(38/49)*(37/48) The last four terms are the probabilities of non face cards from the cards that are left (no replacement.

The face card could be in any of the five positions so the probability is 5* what we calculated.

Answer 2

12 face cards are in deck

(12)(₄₀C₄) = ?