720

10 x 9 x 8 = 720

‘!’ mean factorial

10! means you multiply 10 X 9 X 8 X 7… X 1

and

7! means 7 X6 X 5 … X 1

so, when you have factorials like this, you can look at them as

10 X 9 X 8 X 7!

divided by

7!

now you can cleanly factor out the 7! from the top and bottom and all you have to compute is 10 X 9 X 8.

Make the fractions mistaken 10 x 28 + 9 = 289/10 10 x 7 + 7 = seventy seven/10 seeing that they have the comparable denominator, upload the numerators 366/10 Simplify (divide numerator via denominator) 36 6/10

Factorials are not as difficult once you recognize and apply n! = n*(n-1)! or 10! = 10*9! Using that same principal 10! = 10*9*8*7!

so you have 10*9*8*7!/7! = 10*9*8= 720

The neat thing about this concept that it works with even very large numbers such as 52!/50! = 52 *51 = 2652

Answer 6

10! / 7! = (10*9*8*7!) / 7! = 10*9*8 = 720

Answer 7

10!/7!=10x9x8x7! / 7! = 10x9x8 = 720

Factorialize both numbers, and divide.

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