Question

What is the value of 7P3 ?

A.
21

B.
35

C.
210

D.
840

Answer 1

P here signifies permutation. We just use the permutation formula to solve this problem. It is expressed as:

nPr = n ! / ( n − r ) !

We calculate as follows:

7P3 = 7! / (7-3)! = 5040 / 24 = 210

Therefore, the correct answer is option C, 210.

Answer 2

7P3 = 7!/(7-3)! = 7!/4! = (7 x 6 x 5 x 4!)/4! = 7 x 6 x 5 = 210