Number of distinct object is 5.
What is permutation?
"The permutation is the number of different arrangements that can be made by picking r number of things from the available n things".
What is factorial?
"The factorial is the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point".
For the situation given,
Number of ways the distinct objects can be arranged = 120
Factorial method is used to find the number of different arrangements. So by using successive division we can find number of objects.
⇒\(120\) ÷ \(1\)
⇒\(120\)
⇒\(120\) ÷ \(2\)
⇒\(60\)
⇒\(60\) ÷ \(3\)
⇒\(20\)
⇒\(20\) ÷ \(4\)
⇒\(5\)
⇒\(5\) ÷ \(5\)
⇒\(1\)
Thus on dividing by 5 we get 1, so 5 is the value.
Hence we can conclude that number of distinct object is 5.
Learn more about Permutation and factorial here
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