SOLUTION: How many different combinations of seven cards can be dealt from a 52-card deck of cards? A) 133,784,560 B) 6,497,400 C) 674,274,182,400 D) 132,600

Algebra ->  Permutations -> SOLUTION: How many different combinations of seven cards can be dealt from a 52-card deck of cards? A) 133,784,560 B) 6,497,400 C) 674,274,182,400 D) 132,600      Log On


   

Question 1082626: How many different combinations of seven cards can be dealt from a 52-card deck of cards?
A) 133,784,560
B) 6,497,400
C) 674,274,182,400
D) 132,600
Found 2 solutions by richard1234, josmiceli:
Answer by richard1234(7193) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
C( 52,7 ) = +52%21+%2F+%28+7%21%2A%28+52+-+7+%29%21+%29+
+52%21+%2F+%28+7%21%2A45%21+%29+
+%28+52%2A51%2A50%2A49%2A48%2A47%2A46+%29+%2F+%28+7%2A6%2A5%2A4%2A3%2A2%2A1+%29+
+%28+52%2A51%2A10%2A7%2A8%2A47%2A46+%29+%2F+%28+4%2A3%2A2%2A1+%29+
+13%2A17%2A5%2A7%2A8%2A47%2A46+=+133784560+
The answer is A)
I did cancellations in 2 steps