Question

find the value of 7P3

Answer 1

n p r  = n! / (n - r)  !

7p3  = 7! / (7 - 3) ! =

7! = 7*6*5*4*3*2*1 = 5040

(7-3) ! = 4! = 4*3*2*1 = 24

7p3 = 5040/24 = 210 is the answer.

Answer 2

The answer for 7p3 is : 210.

This can be solved in the following way:

7p3 is an expression for permutation which means the number of ways of arranging 3 items from a total of 7 items.

The formula for permutation is:

nPr =[ n!/ (n-r)! ] , where 'n' refers to the total number of items/ persons/ etc.

and 'r' means the number of items taken at a time

Here n= 7 and r= 3

So nPr / 7P3 = 7! / (7-3)!

7! can be determined as: (7×6×5×4×3×2×1)

Again, (7-3)! = 4! can be determined as: (4×3×2×1)

So, 7P3 = 7×6×5 ( the rest gets cancelled)

= 210