Answer:
1814400
Step-by-step explanation:
We are given the following expression and we are to simplify it:
[tex] \frac {_{12} P_{10} } {_{12} P_2} [/tex]
The formula for solving the permutation is:
[tex] nPr = \frac {n!} { (n-r)! } [/tex]
Substituting the given values in the formula one by one.
[tex] 12P10 = \frac {12!} {(12-10)!} = \frac {12!} {2!} =239500800[/tex]
[tex] 12P2 = \frac {12!} {(12-2)!} = \frac {12!} {10!} = 132 [/tex]
Now dividing the two values to get:
[tex]\frac{_{12}P_{10}}{_{12}P_2} = \frac{239500800}{132} = 1814400[/tex]
