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

the probability is 0