Rachel draws three cards from a standard deck of cards, one at a time. How many different ways can she draw three cards? (The order of the cards matters.)

\(\text{She has 52 cards to choose from, then 51, then 50}\\ N = 52\cdot 51\cdot 50\\ \text{The usual formula for what's known as a permutation of }n \text{ objects taken }r \text{ at a time is }\\ _nP_r = \dfrac{n!}{(n-r)!}\)

\(\text{She has 52 cards to choose from, then 51, then 50}\\ N = 52\cdot 51\cdot 50\\ \text{The usual formula for what's known as a permutation of }n \text{ objects taken }r \text{ at a time is }\\ _nP_r = \dfrac{n!}{(n-r)!}\)