SOLUTION: What does 60! mean in statistics how do I solve 60!/58!(60-58)! please help me understand

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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)!
---------
60! is 60 factorial.
= 60*59*58*57*...1
-----------
60!/58! = 60*59*58*57...1/(58*57*56...1) = 60*59
---
(60-58)! = 2! = 2*1
-----
--> 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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