Find the number of ways in which 3 of 10 real estate salesperson can be ranked first, second and third according to market knowledgebility.

What is 10x9x8 ?

like permutations = 10!/(10-3)!

To find the number of ways in which 3 out of 10 real estate salespersons can be ranked first, second, and third according to market knowledgeability, we can use the concept of permutations.

Permutations are used when the order of items matters. In this case, the order in which the salespersons are ranked is important.

To calculate the number of permutations, we can use the formula:

P(n, r) = n! / (n - r)!

where n is the total number of items, and r is the number of items selected.

In this case, we want to find the number of permutations of 10 real estate salespersons taken 3 at a time. So, n = 10 and r = 3.

Plugging the values into the formula:

P(10, 3) = 10! / (10 - 3)!

Calculating further:

P(10, 3) = 10! / 7!

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

Now we can calculate:

P(10, 3) = 10 x 9 x 8

P(10, 3) = 720

Therefore, there are 720 ways in which 3 out of 10 real estate salespersons can be ranked first, second, and third according to market knowledgeability.