If a group of distinct objects can be arranged in 120 different ways, how many objects are there? a. 3 b. 4 c. 5 d. 6

 The correct option is (C) 5.

Step-by-step explanation:  Given that a group of distinct objects can be arranged in 120 different ways.

We are to find the number of objects in the group.

We know that a group of n distinct objects can be arranged in n! ways.

And, for a non-negative integer n, the factorial of n is defined as

Option (A) :  If n = 3, then

So, option (A) is incorrect.

Option (B) :  If n = 4, then

So, option (B) is incorrect.

Option (C) :  If n = 5, then

So, option (C) is correct.

Option (D) :  If n = 6, then

So, option (D) is incorrect.

Thus, (C) is the correct option.