Question 896406: What does 60! mean in statistics how do I solve 60!/58!(60-58)!
please help me understand
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! What does 60! mean in statistics how do I solve 60!/58!(60-58)!
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60! is 60 factorial.
= 60*59*58*57*...1
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60!/58! = 60*59*58*57...1/(58*57*56...1) = 60*59
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(60-58)! = 2! = 2*1
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--> 60*59/2
= 1770
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PS That's not solving anything.
Equations are solved, eg, "solve for x"
That's just simplification or evaluation.
Answer by Edwin McCravy(20060)  (Show Source):
You can put this solution on YOUR website!
means this long thing:
And then you cancel all that will cancel and you get this:
And all you have left is
Then cancel the 2 into the 60
   
That's the formula for the combinations of 68 things taken 58 at a time
C(60,58)
A much, much easier formula for combinations:
C(a,b) if b is larger than half of a, then subtract b from a. Then
For the numerator start with a and use b factors, each one less than the
preceding.
For the denominator start with b and use b factors, each one less than the
preceding.
So if you have C(60,58)
Since 58 is larger than half of 60, subtract 60-58 = 2.
Then you have C(60,2) and by the easier formula,
.
Edwin
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