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If the company needs a list of top 5 sales people then the number of rankings that are possible are 45239040 .
In the question ,
it is given that ,
the total number of salespeople in the company is = 36
the number of sales people that need to be ranked is = top 5 salespeople ,
we have to ranked the top 5 salespeople ,
So , the top 5 salespeople can be ranked in ³⁶P₅ ways .
³⁶P₅ = 36!/(36 - 5)!
= 36!/31!
On further simplifying ,
we get ,
= 45239040
Therefore , the number of ranking that are possible are 45239040 .
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