Question

There are 5 persons and at a time only 3 can be arranged. What is the total number of arrangements?

a. 80
b. 240
c. 60
d. 120

Answer 1

If there are 5 persons and at a time only 3 can be arranged, the total number of arrangements is 60

Option C is correct

Explanation:

There are 5 persons and at a time only 3 can be arranged.

The total number of arrangements = nPr = n!/(n-r)!

Here n = 5 and r = 3

nPr = n!/(n-r)!

nPr = 5!(5-3)!

nPr = 5!/2!

nPr = 5*4*3*2!/2!

nPr = 5*4*3

nPr = 60

So, if there are 5 persons and at a time only 3 can be arranged, the total number of arrangements is 60

Option C is correct.