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Medications for Depression A researcher wishes her patients to try a new medicine for depression. How many different ways can she select 5 patients from 50 patients?

2,118,760

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Yes N.

December 22, 2020

A researcher wishes her patients to try a new medicine for depression. How many different ways can she select 4 patients from 40?

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now in this question, it is given to us that a researcher wishes her patients to try a new medicine for depression. Now she wants to select five patients out of 55 out of 50. So and how many different ways can she select five patients out of 50? It is going to be 50 c five now. How exactly do we write this? This is going to be 50 factorial upon 50 minus five Factorial in 25 factorial night. This is 50 minus five Factory. This is a bracket. So this can be written as 50 49 48 47 46 into 45. Factorial. Okay, this is 50 minus five. Factory list. 45 factorial into five factorial. So let me just canceled 45 factorial. What is five factorial five into four into 3 to 21 5 to 4 is 20 into 3. 60 into two is 1 20. Anyone is one Ready. So this becomes 1 20 right? This thing, actually, in the denominator, this becomes one 20 right? Let me cut this zero. Okay, So what I have is five in 2. 49 in 2. 48 in 2 47 to 46 divided by 12, which is 2118760 to 118760 There are these many ways rights. There are two million, 118,760 different ways in which she can select five patients out of 50. And this is our answer.

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