The number of unique orders in which five items (A,B,C,D,E)can be arranged is:
A) 5.
B) 840.
C) 120.
D) 24.

Question

Quizplus · Accepted Answer

The number of unique arrangements for a set of n items is n factorial (n!), which is the product of all positive integers from 1 to n. Therefore, the number of unique orders in which five items can be arranged is 5! = 120. Option A is incorrect, as there are more than 5 unique orders possible. Option B is incorrect, as the number 840 is not a factor of 5. Option D is incorrect, as there are more than 24 unique orders possible.

The Number of Unique Orders in Which Five Items (A,B,C,D,E)can