evaluate P(6, 3)
To evaluate P(6, 3), we need to determine the number of permutations of taking 3 objects from a set of 6 objects.
The formula for permutations is given by P(n, r) = n! / (n-r)!, where n is the total number of objects and r is the number of objects being arranged.
Using this formula, we can calculate the number of permutations:
P(6, 3) = 6! / (6-3)!
= 6! / 3!
= (6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)
= 120 / 6
= 20
Therefore, P(6, 3) is equal to 20.
To evaluate P(6, 3), we need to use the permutation formula. The permutation formula is given by:
P(n, r) = n! / (n - r)!
where "n" represents the total number of items and "r" represents the number of items to be selected.
In this case, we have n = 6 and r = 3, so the formula becomes:
P(6, 3) = 6! / (6 - 3)!
= 6! / 3!
Using the factorial function, we can calculate:
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
3! = 3 × 2 × 1 = 6
Substituting these values into the formula, we get:
P(6, 3) = 720 / 6
= 120
Therefore, the value of P(6, 3) is 120.