Question

Simplify.



6!/3!

Answer 1

Are you familiar with factorial numbers?

Answer 2

6! = 6x5x4x3x2x1
3! = 3x2x1

= 120

Answer 3

thank you. does this method work for things like 7!/10!?

Answer 4

Yes.

Answer 5

It's the same thing

Answer 6

There is a shortcut, though.

Answer 7

wait! when you multiplied 6x5x4x3x2x1 did you cross out 3x2x1? @iambatman ?

Answer 8

Touche :)

Answer 9

Thank you! :)

Answer 10

Np

Answer 11

\(\dfrac{6!}{3!} = \dfrac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} =\)

\( = \dfrac{720}{6} = 120\)

Here is the shotrcut:

\(\dfrac{6!}{3!} = \dfrac{6 \times 5 \times 4 \times 3!}{3!} = \)

\(=\dfrac{6 \times 5 \times 4 \times \cancel{3!}}{\cancel{3!}~1} = 120\)