Simplify 6P2.
- 30
- 15 ***
- 12
- 720
nPr=n!/(n-r)!
6P2
=6!/((6-2)!)
=?
the answer is 30 I am pretty sure
To simplify 6P2, we use the permutation formula:
nP r = n! / (n - r)!
In this case, we have:
6P2 = 6! / (6 - 2)!
Simplifying further:
6P2 = 6! / 4!
Now, we calculate the factorials:
6P2 = (6 * 5 * 4 * 3 * 2 * 1) / (4 * 3 * 2 * 1)
After canceling out common factors:
6P2 = (6 * 5) / (2 * 1)
6P2 = 30 / 2
6P2 = 15
Therefore, the simplified value of 6P2 is 15.
To simplify 6P2, we need to use the formula for permutation, which is given by:
nPk = n! / (n-k)!
In this case, we have n = 6 and k = 2.
Plugging in the values, we get:
6P2 = 6! / (6-2)!
= 6! / 4!
= (6 * 5 * 4!) / 4!
= (6 * 5)
= 30
Therefore, the simplified value of 6P2 is 30.