SOLUTION: How many different 5-card hands can be dealt from a standard deck of 52 cards?

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Question 76805: How many different 5-card hands can be dealt from a standard deck of 52 cards?
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
How many different 5-card hands can be dealt from a standard deck of 52 cards?
This is a combination because
1 repititons are not allowed
2 order is NOT important
C(n,r)=highlight%28n%21%2F%28r%21%28n-r%29%21%29%29
n=52 r=5
C(52,5)=52%21%2F%285%21%2852-5%29%21%29
=52%21%2F%285%21%2A47%21%29
=52%2A51%2A50%2A49%2A48%2A47%21%2F%285%21%2A47%21%29
52%2A51%2A50%2A49%2A48%2Across%2847%21%29%2F%285%21%2Across%2847%21%29%29
52%2A51%2A50%2A49%2A48%2F%285%2A4%2A3%2A2%2A1%29
52%2A51%2A%285%2A2%2A5%29%2A49%2A%284%2A3%2A4%29%2F%285%2A4%2A3%2A2%2A1%29
52%2A51%2Across%285%2A2%29%2A5%2A49%2Across%284%2A3%29%2A4%2Fcross%285%2A4%2A3%2A2%2A1%29
52%2A51%2A5%2A49%2A4
C(52,5)=highlight%282598960%29
The TI-83-84 calculators have the combination feature under the MATH key all the way to the right is PRB, nCr is the third option down.
Type 52 nCr 5 hit enter and it gives you 2598960, it depends on how much work your teacher wants to see as to whether you can use that kind of feature.
Happy Calculating!!!