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a company has 36 salespeople. a board member at the company asks for a list of the top 5 salespeople, ranked in order of effectiveness. how many such rankings are possible?

Sagot :

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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