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Investigative Team The state narcotics bureau must form a 5-member investigative team. If it has 25 agents from which to choose, how many different possible teams can be formed?
Intro Stats / AP Statistics
Chapter 4
Probability and Counting Rules
Section 4
Counting Rules
Sampling and Data
Probability Topics
Missouri State University
Piedmont College
Cairn University
Oregon State University
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the narcotics beauty has to select our five member investigator team out off 25 s sense. So this converted as 25 see flight here here to find the number of combinations from this expression. So an equal to 25 that is a total number of Asians and are equal toe fight no end up NC are equal toe. This is a form left for to find out the number of combinations and factorial divided by and minus r factorial into our factory here. And he's 25. So 25 factorial do you ordered by in minus R factorial is 25 minus five factorial in due five factorial 25 factory that we converted as 25 into 24 into 23 into 22 into 21 into 20 factorial 24 minus five piece 20. So that's why we stopped the 20 factorial 25 minus five. Fight is our so in tow. Our factory is five factorial 25 minus 25 is 20 so we can cancel Well, the 20 factory als. So we will get 25 into 25 into 23 into 22 into 21 into 20 factorial by 20 factorial into five factorial. We converted as five into four into three into doing to one. So here we are cancelling board 20 factory ALS. When we some simplify, we will get 53,000 1 30 So or narcotics team can select 53,001. 30 Reese to select a team.
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