Homework Help: Math - probability

Posted by Lindz on Monday, September 25, 2006 at 5:26pm.

A lab is developing a new medication for headaches. To do so,they must choose from 10 active ingredients, 5 preservatives and 2 presentations (capsules or tablets). A tablet or a capsule must have at least one active ingredient and one preservative.

a)How many different medications with one active ingredient and two preser-
vatives can the lab produce?

b)How many different medications with two active ingredients and one
preservative can the lab produce?

c)How many different medications with one active ingredient and at most
two preservatives can the lab produce?

For a) there are 10 choices for the active ingred., and 5C2 (5 choose 2) ways to select the preservative, times the number of presentations. Now use the multiplication rule.
For b) there are 10C2 ingred., and 5C2 preserv. times the number of presentations.
For c) there are 10C1 ways to select the ingredient, 5C1 + 5C2 ways for the preserv, and 2 presentations.

Note: nCm means n choose m.

No one has answered this question yet.

Answer this Question

Related Questions

Statistics - A pharmaceutical company claims its new medication relieves painful...
Math - A pizzeria offers 8 different ingredients on its pizza. Andy chooses 3 ...
Math - In the tests of a new pharmaceutical product, data were collected for use...
pharmacy - 2. On a job interview for a position as a pharmacy technician, the ...
Math - In the tests of a new pharmaceutical product, data was collected for use ...
geometry - In the tests of a new pharmaceutical product, data were collected for...
pharmacology - 1. Which one of the following drugs would you instruct a patient...
Physics - The patient in the figure below is to receive an intravenous injection...
health - What are the active ingredients in heroin? (What causes people to abuse...
Biotechnology - What are the active ingredients in cocaine? (What causes people ...

For Further Reading

First Name:
School Subject:
Answer: