SOLUTION: if a deck has 53 cards, it contains 4 cuits (hearts,dimonds,clubs, and spades) of 13 cards each, where 10 are numbers cards and 3 face cards (jack, queen, king) a)how many diffe

Algebra ->  Probability-and-statistics -> SOLUTION: if a deck has 53 cards, it contains 4 cuits (hearts,dimonds,clubs, and spades) of 13 cards each, where 10 are numbers cards and 3 face cards (jack, queen, king) a)how many diffe      Log On


   



Question 270478: if a deck has 53 cards, it contains 4 cuits (hearts,dimonds,clubs, and spades) of 13 cards each, where 10 are numbers cards and 3 face cards (jack, queen, king)
a)how many different 6-card hands are possible if order does not matter?
b) how many different 6-card hands can be dealt with all face cards sif order does not matter?
c)How many 7-card hands can be dealt with no faces if order does not matter?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if a deck has 52 cards, it contains 4 suits (hearts,dimonds,clubs, and spades) of 13 cards each, where 10 are numbers cards and 3 face cards (jack, queen, king)
a)how many different 6-card hands are possible if order does not matter?
Ans: 52C6
--------------------
b) how many different 6-card hands can be dealt with all face cards if order does not matter?
Ans: 12C6
-----------------
c)How many 7-card hands can be dealt with no face cards if order does not matter?
Ans: 40C7
============================
Cheers,
stan H.