Question

Can anyone solve this?

Answer 1

C) 100.1
D) 720
E) 325
F) 2520

Answer 2

c) The equation can be rewritten as:


`(7 * 6!)/(6! * 5!) * (13 * 12 * 11 * 10!)/(10!)`

6! and 10! in the numerator and denominator cancel out. Leaving you with:

`(7)/(5!) * 13 * 12 * 11`

Simplify:

`(12012)/(120)` = 100.1

d) (2 + 4)! = 6!
6 * 5 * 4 * 3 * 2 * 1
30 * 12 * 2
360 * 2
720

e) Just like in part c, we can rewrite the numerator:

`(26 * 25* 24!)/(24! * 2!)`

The 24! in the numerator and denominator cancel out. Leaving you with:

`(26*25)/(2*1) = (650)/(2) = 325`

f) Just like part c and e, we can rewrite the denominator:

`(15! * 8!)/(16 * 15!)`

15! cancels in both top and bottom. Leaving you with:

`(8!)/(16) = 2520`