Answer:
The value of P(12,9) is 79833600.
Step-by-step explanation:
We need to find the value of P(12,9).
The given expression represents the permutation.
The formula for permutation is
\(P(n,r)=\frac{n!}{(n-r)!}\)
In the given expression n=12 and r=9. So, the value of P(12,9) is
\(P(n,r)=\frac{12!}{(12-9)!}\)
\(P(n,r)=\frac{12!}{3!}\)
\(P(n,r)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3!}{3!}\)
Now, cancel out the common factors.
\(P(n,r)=12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\)
\(P(n,r)=79833600\)
Therefore the value of P(12,9) is 79833600.
