By poker_boy | No Comments
Last updated: Tuesday, June 28, 2011 | 62 Views Tags: card poker hands, cards, correct answer
This week’s question is a good one. Let’s have a look:
Question: Choose the answer below that would lead, after calculation, to the correct answer to this counting problem: How many 5-card poker hands have all 5 cards ranked 7 or lower (that is, every card is a 2, 3, 4, 5, 6, or 7)?
a. 24C5
b. 7C5
c. 7P5
d. 7*7*7*7*7
e. 4* (6P5)
Answer: Since the order does not matter, we’re dealing with combinations, not permutations.
There are 4 suits and 6 cards included in consideration per suit (2, 3, 4, 5, 6 and 7).
So 4×6=24 considered for a combination of 5 at a time, therefore : a. 24C5
There are 4 suits and 6 cards included in consideration per suit (2, 3, 4, 5, 6 and 7).
So 4×6=24 considered for a combination of 5 at a time, therefore : a. 24C5
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Mike Smith
