evaluate 9! over 3! 6!?

Answer 1

ok... write it out longhand first.

9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
-------------------------------------------
6 X 5 X 4 X 3 X 2 X1 (3 X 2 X 1)

Cancel out the 6! on top and bottom

9 x 8 x 7
--------
3 x 2 x 1

504
-----
6

= 84

Answer 2

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
3! = 3 x 2 x 1
6! = 6 x 5 x 4 x 3 x 2 x 1

9! / 3! 6! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 /
..................(3 x 2 x 1 x 6 x 5 x 4 x 3 x 2 x 1)

= 9 x 8 x 7 / (3 x 2)
= 504 / 6
= 84

Answer 3

9 Factorial = 9! = (9*8*7*6*5* ...etc....down to 1)
6! = (6*5*4*etc.)
3! = (3*2*1)
so 9!/6!*3! = (9x8x7x6x5x4x3x2x1)/(6x5x4x3x2x1) x (3x2x1)
The 6! cancels out everything in the 9! except the 9x8x7, which leaves 9x8x7/3x2x1, which is 504/6 = 84.

Easy!

Answer 4

9! = 9 * (8) * (7) * 6!
so 6! and 6! cancel and you are left with:
(9 * 8 * 7) / (3 * 2 * 1) = 84

Answer 5

9! simply means 9x8x7x6x5x4x3x2x1 any number has! is simply just by multiplying the number. For example 3!=3x2x1
u can do it on the calculator is fairly simple. As for your question 9! is 362880 divided by 3! which is 6 x 6! which is 720.
So 362880 divided by 720 x 3 = 1512

hope this helps by the way this ! means factorial.

Answer 6

9*8*7*6*5*4*3*2*1
--------------------------
(6*5*4*3*2*1)X(3*2*1)

The 3*2*1 on the bottom cancels the one on top.
The 6*5*4 cancels those left on top, which leaves;
9*8*7
--------
3*2*1 You should be able to work that out right?

Answer 7

84

Answer 8

9! over 3! 6!
(9.8.7.6.5.4.3.2.1)/[(3.2.1)(6.5.4.3.2.1)]
=84