Find the number of ways a run of seven cards in order of the

Find the number of ways a run of seven cards in order of the same suit can be drawn from a standard 52-card deck of cards. A: how many ways can the suit be chosen? B: HOw many ways can the seven cards from the suit be chosen? C: How many ways can the hand be chosen?

Solution

a)

There are 4 suits to choose from. [answer, 4]

b)

There are 13 cards in each suit. Hence, there are 13C7 = 1716 ways. [answer]

c)

Thus, there are a total of 4*1716 = 6864 ways. [ANSWER]