Question

from a standard deck of cards, 3 cards are selected. what is the probability that 2 are diamond and 1 are clubs?

i got (13C2)(13C1) = (78)(13) = 1014 but its not on my multiple choice answers

A) 1/2600 B 39/850 C 11/850 D 1/22100

Answer 1

I think it's C

Answer 2

Your answer is not even a probability. It is the number of ways to pick cards.

The cards can be
DDC: 13/52 * 12/51 * 13/50
DCD: 13/52 * 13/51 * 12/50
CDD: 13/52 * 13/51 * 12/50
= 3*(13*13*12)/(52*51*50) = 39/850