The symbol ₁₂P₉ represents the permutations of 9 quantities out of 12.
By definition,
[tex]_{12}P_{9} = \frac{12!}{(12-9)!} = \frac{12!}{3!} [/tex]
From the calculator,
12! = 479,001,600
3! = 6
Therefore
₁₂P₉ = 479001600/6 = 79,833,600
Answer: 79,833,600
