Number of distinct object is 5.
"The permutation is the number of different arrangements that can be made by picking r number of things from the available n things".
"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.
⇒[tex]120[/tex] ÷ [tex]1[/tex]
⇒[tex]120[/tex]
⇒[tex]120[/tex] ÷ [tex]2[/tex]
⇒[tex]60[/tex]
⇒[tex]60[/tex] ÷ [tex]3[/tex]
⇒[tex]20[/tex]
⇒[tex]20[/tex] ÷ [tex]4[/tex]
⇒[tex]5[/tex]
⇒[tex]5[/tex] ÷ [tex]5[/tex]
⇒[tex]1[/tex]
Thus on dividing by 5 we get 1, so 5 is the value.
Hence we can conclude that number of distinct object is 5.
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