To solve for 6P2, we need to understand what the notation means. The notation nPr (where n is the total number of items and r is the number of items to be chosen) represents the number of permutations of n items taken r at a time.
The formula for permutations is given by:
nPr = n! / (n – r)!
In our case, n = 6 and r = 2. Plugging in the values:
6P2 = 6! / (6 – 2)! = 6! / 4!
Now, we can calculate 6! and 4!:
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
4! = 4 × 3 × 2 × 1 = 24
Substituting these values back into the permutation formula:
6P2 = 720 / 24 = 30
Thus, the value of 6P2 is 30.