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40 votes
40 votes
Evaluate.
10! over
6!(12-8)!

User Thomson Ignesious
by
3.1k points

1 Answer

9 votes
9 votes

Answer: 210

Explanation:

! means, for example, 6! = 6 * 5* 4 * 3 * 2 * 1

Given:


\displaystyle (10!)/(6!(12-8)!)

Subtract:


\displaystyle (10!)/(6!(4)!)

Distribute:


\displaystyle (10!)/(6!*4!)

Expand:


\displaystyle (10 * 9 * 8 * 7 * 6 * 5* 4 * 3 * 2 * 1)/((6 * 5* 4 * 3 * 2 * 1)*(4 * 3 * 2 * 1))

Cancel out (6*5*4*3*2*1) in both the top and bottom as they equal 1:


\displaystyle (10 * 9 * 8 * 7 )/(4 * 3 * 2 * 1)

Multiply:


\displaystyle (5,040 )/(24)

Divide:

210

User Chinnychinchin
by
3.0k points