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(b) A company has 39 salespeople. A boardmember at the company asks for a list of the topsalespeople, ranked in order of effectiveness. How many such rankings are possible?0ExplanationCheck

B A Company Has 39 Salespeople A Boardmember At The Company Asks For A List Of The Topsalespeople Ranked In Order Of Effectiveness How Many Such Rankings Are Po class=

Sagot :

Since 1 person cannot be in the top 4 salespeople more than once, then, we use combinations instead of permutations.

[tex]39C4=\frac{39!}{4!(39-4)!}[/tex]

Simplify the expression,

[tex]39C4=\frac{39!}{4!35!}[/tex][tex]\begin{gathered} 39C4=\frac{39\ast38\ast37\ast36}{4\ast3\ast2\ast1} \\ 39C4=\frac{1974024}{24} \\ 39C4=82251 \end{gathered}[/tex]

answer:

The 4 top list can be arranged in 82251 ways

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