Question

Simplify the expression.

Answer 1

1814400

Explanation:

We are given the following expression and we are to simplify it:

`\frac {_(12) P_(10) } {_(12) P_2}`

The formula for solving the permutation is:

`nPr = \frac {n!} { (n-r)! }`

Substituting the given values in the formula one by one.

`12P10 = \frac {12!} {(12-10)!} = \frac {12!} {2!} =239500800`

`12P2 = \frac {12!} {(12-2)!} = \frac {12!} {10!} = 132`

Now dividing the two values to get:

`(_(12)P_(10))/(_(12)P_2) = (239500800)/(132) = 1814400`

Answer 2

D) 1,814, 400

Explanation:

It is permutation.

nPr = n!/(n -r)!

Now we have to use the above formula and simplify.

12P10 = 12! / (12 - 10)!

= 12!/2!

=479001600/2

12P10 = 239,500,800

Now let's find 12P2

12P2 = 12!/(12 -2)!

= 12!/10!

= 479001600 / 3628800

12P2= 132

Now we have to divide 12P10 by 12P2

= 239500800/132

= 1,814,400

This will helpful.

Thank you.