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Free-Sample Requests An online coupon service has 13 offers for free samples. How many different requests are possible if a customer must request exactly 3 free samples? How many are possible if the customer may request up to 3 free samples?

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Temple University

Cairn University

University of St. Thomas

Idaho State University

Lectures

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you have an online coupon service offering 13 free samples for the first question. If the customer must request exactly three free samples, how many possible requests are there? The second question. If the customer may request up to three free samples, how many possible requests are there? So for for us to answer this question, we're going to use the combination rule. This basically says that the number of combinations off in objects taken our at the time where Order is not important is given by the formula and factorial over n minus. R factorial things r factorial. So to answer that first question from 13 free samples, she want to take exactly three. And order is not important. So that would just be combination. 13 Taken three at the time you sing the formula. This is equal to 13 factorial over 13 minus tree factorial kind times three factorial. If you use your calculator, you would get 286 for the second question. So you want the number off possible requests if the customer may request upto three free samples, so this means the customer can this quest for three free samples or to free samples for one free sample so adorn for three free samples is precisely what we got in. Let there a In the first question, that's combination. 13 Taken three at the time to free samples, producing to free samples from 13. Then that would just be combination. 13 taken to at the time. So we're taking one free sample out of 13 and that would just be combination. 13. Taken one at the time. No, this is an or situation. So we just add these up. You can use your calculator. So this is to 86 which is the answer we got in a combination 30. Taken to a tee time, you're 78. Combination 13 taken one at the time is 13 and the total here would be 3 77 bossy, bold requests.

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