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

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

Step-by-step 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.