Find the number of ways four cards of the same suit can be drawn from a 52-card deck of cards.

Question

a. How many ways can the suit be chosen?

b. How many ways can the four cards from the suit be chosen?

c. How many ways can the hand be chosen?

Answer 1

a. Since there are four suits, there are four ways of choosing the suit.

b. The number of ways of picking 4 cards out of 13 of the same suit is 13*12*11*10/1*2*3*4=715.

c. The number of ways of picking 4 cards out of 52=270,725.

It is assumed that the order is unimportant.