Evaluate the expression.

p(7, 4) · p(6, 3)
p(5, 4)

P(7, 4) · P(6, 3) = 100800

P(5, 4) = 120

Step-by-step explanation:

P(7, 4) quantifies the number of ways in which 4 things taken from a group of 7 things can be arranged. It is calculated as follows

P(7, 4) = 7!/(7-4)! = 7!/3! = 7*6*5*4*3*2*1/(3*2*1) = 7*6*5*4 = 840

Similarly, P(6, 3) and P(5, 4) are computed as

P(6, 3) = 6!/3! = 6*5*4 = 120

P(5, 4) = 5!/1! = 5*4*3*2 = 120

Finally, P(7, 4)*P(6, 3) = 840*120 = 100800

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..