Simplify 11P2
11P2 = 11! / (11-2)! = 11! / 9! = 11 x 10 = 110
To simplify 11P2, we use the formula for permutations:
nPk = n! / (n - k)!
In this case, n = 11 and k = 2.
11P2 = 11! / (11 - 2)!
= 11! / 9!
To compute it, we need to evaluate 11!, which is the factorial of 11.
11! = 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 39,916,800
Now, we need to evaluate 9!, which is the factorial of 9.
9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362,880
Plugging in the values, we get:
11P2 = 39,916,800 / 362,880
= 110
Therefore, the simplified answer for 11P2 is 110.