Evaluate the expression.
P(9,4)
A.1512 B.240 c.3024 D.15,120
(9)
(4) the 4 is underneath the 9 in the parathesis with it
A. 15,120 B.126 C.1512 D.240
matty b raps at it again!
P(9,4) = 9*8*7*6
C(9,4) = P(9,4)/4!
P+9
To evaluate the expression P(9,4), we need to calculate the value of the permutation function. The permutation formula is given as P(n, r) = n! / (n - r)!, where n is the total number of objects and r is the number of objects selected.
In this case, n is 9 and r is 4. Let's substitute these values into the formula:
P(9,4) = 9! / (9 - 4)!
To calculate 9!, we multiply all the whole numbers from 9 down to 1: 9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 362,880.
Now, let's calculate (9 - 4)!, which is 5!.
5! = 5 × 4 × 3 × 2 × 1 = 120.
Now we can substitute these values back into the formula:
P(9,4) = 362,880 / 120 = 3,024.
Therefore, the correct answer is C. 3,024.