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Let's reduce this thing:

8! / 5!

No, it ISN'T 3!

Write out what each means...

8! / 5! = ( 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 ) / ( 5 * 4 * 3 * 2 * 1 )

 

Now simplify:

8! / 5! = ( 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 ) / ( 5 * 4 * 3 * 2 * 1 )  ...   the 5 * 4 * 3 * 2 * 1 cancels out  ...  = 8 * 7 * 6 = 336  ...  done!
You can use your calculator for this.

 


YOUR TURN:

Reduce

6! / 4!