I don't even know what this means. Please help

Five cards are drawn in succession, without replacement, from a standard deck of 52 cards. How many sets of five cards are possible?

A. 500
B. 12,994,800
C. 2,598,960
D. 433,160

1 answer

combinations of five cards out of 52 cards:

C(52,5)= 52!/[5!(52-5)!]

= 52!/[5!(47!)]
= 52*51*50*49*48/(5*4*3*2)
= 52*51 *10*49*2
= 2,598,960 remarkable