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whay  fictorial is used and also give the proof of 0!=1

muhammadtalha  Jun 3, 2014

Best Answer 

 #1
avatar+89889 
+5

The term is "factorial".....it represents the product of the first "n" positive integers and is written as n!

Thus,

3! = The product of the first three positive integers = 3*2*1 = 6

And 5! = The product of the first five positive integers = 5*4*3*2*1 = 120

This idea is used quite frequently in the areas of probability and statistics to count sets or orderings of things.

------------------------------------------------------------------------------------------------------

Proof that...... (0! = 1).......while not a "formal" proof, here's the idea........

3! = 3*2*1
2! = 2*1 = (3*2*1)/3 = 3!/3
1! = (2*1)/2 = 2!/2
Then.....
0! = 1!/1 = 1

CPhill  Jun 3, 2014
 #1
avatar+89889 
+5
Best Answer

The term is "factorial".....it represents the product of the first "n" positive integers and is written as n!

Thus,

3! = The product of the first three positive integers = 3*2*1 = 6

And 5! = The product of the first five positive integers = 5*4*3*2*1 = 120

This idea is used quite frequently in the areas of probability and statistics to count sets or orderings of things.

------------------------------------------------------------------------------------------------------

Proof that...... (0! = 1).......while not a "formal" proof, here's the idea........

3! = 3*2*1
2! = 2*1 = (3*2*1)/3 = 3!/3
1! = (2*1)/2 = 2!/2
Then.....
0! = 1!/1 = 1

CPhill  Jun 3, 2014
 #2
avatar+93654 
0

Thanks Chris. 

A neat little demonstration.

Melody  Jun 4, 2014

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