Evaluate 12P2
Guessing you mean 12 permutation 2
Recall that npr=n!/(n-r)!
12!/(12-2)!=(12×11)×10!/10!=?
Well, 12P2 can be evaluated by using the formula for permutations: P(n, r) = n! / (n - r)!
So, in this case, we have:
12P2 = 12! / (12 - 2)!
= 12! / 10!
= 12 * 11 * 10! / 10!
= 12 * 11
= 132
So, the answer is 132. Now, isn't it funny how math can sometimes make us do unnecessary calculations? But hey, at least you got to witness the thrilling world of permutations!
To evaluate 12P2, we need to use the formula for permutations. The formula for permutations is:
nPk = n! / (n-k)!
In this case, we have n = 12 and k = 2. Plugging these values into the formula, we get:
12P2 = 12! / (12-2)!
= 12! / 10!
= 12 * 11 * 10! / 10!
= 12 * 11
= 132
Therefore, 12P2 is equal to 132.
To evaluate 12P2, we need to determine the number of permutations of 12 items taken 2 at a time. The formula for permutations is given by:
nPk = n! / (n - k)!
where n represents the total number of items and k represents how many items are taken at a time.
In this case, n = 12 and k = 2. Let's calculate it step by step:
Step 1: Calculate the factorial of 12 (12!):
12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 479,001,600
Step 2: Calculate the factorial of (12 - 2) = 10 (10!):
10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3,628,800
Step 3: Divide the result from step 1 by the result from step 2:
12P2 = 12! / 10! = 479,001,600 / 3,628,800 = 66
Therefore, the value of 12P2 is 66.