prove the following identities: (n choose 0) - (n choose 1) + (n choose 2) -(n choose 3) + .......(-1)^n (n choose n) = 0
(n choose 0) + (n choose 2) + (n choose 4) + (n choose 6) +.......(n choose n)= 2^n-1 if n is even.
probability questions: A bridge hand consists of 13 randomly chosen cards from 52. What's the probability that a bridge hand consists of 4 clubs, 4 diamonds, 3 spades, and 2 hearts?
i got (13 choose 4)(13 choose 4)(13 choose 3)(13 choose 2) all divided by (52 choose 4). which i got to equal 1.795%. Not sure if that is right.
If a bridge hand consists of 4 clubs, 4 diamonds, 3 spades, and 2 hearts. Whats the prob. that they happen to fall in this order?
I was thinking (13 C 4) / (52 C 4) times (13 C 4) / (52 C 4) times (13 C 3) / (52 C 4) times (13 C 2) / (52 C 4). I dont think i did this right at all, but i could be wrong.
Thanks a lot for any help or suggestions.
2007-09-27
16:35:55
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3 answers
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asked by
manofsteel322
1