Question

please help. Thank you!
how many five-card poker hands containing exactly one pair are possible?
HINT: after selecting a pair, you must select three of the remaining 12 ranks and then select one card of each.

Answer 1

out of a deck of 52?

the first card i draw can out of 52
the 2nd card i draw must be a pair, so only we can only pick out of 3

exactly one pair
so the third card i draw must be can not be the same as the pair
so we can draw out of 52-4

exactly one pair
the 4th card we can draw cannot be the same as the 3rd card or 1st pair
out of 52-8

5th pair
out of 52-12

52*3*48*44*40 possible combinations out of how many hands?

Answer 2

thank you for your help