Math - probability

posted by .

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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. FOR DAN H

    EXAMINE THE FOLLOWING SENTENCE AND CHOOSE THE APPROPRIATE DESCRIPTION. The material has been tested by our engineers,and they like it. A. BOTH CLAUSES ARE IN ACTIVE VOICE B. BOTH CLAUSES ARE IN PASSIVE VOICE C. THE FIRST CLAUSE IS …
  2. chemistry

    an aspirin tablet contains 5.00X10^2 mg of active ingredient. how many grams of ap of active ingredient does it contain
  3. physics

    For a safe re-entry into the Earth's atmosphere the pilots of a space capsule must reduce their speed from 2.6 104 m/s to 1.0 104 m/s. The rocket engine produces a backward force on the capsule of 1.7 105 N. The mass of the capsule …
  4. HEALTH HELP PLZ

    You have just found out your friend has broken up with a boyfriend or girlfriend. You have always liked the ex-boyfriend (ex-girlfriend) and wonder if you should ask him (her) out. You're not sure how your friend would feel about that. …
  5. Chem

    An analysis of generic antacid tablets labeled to contain 250mg of CaCO3 (MM= 100.09g/mol) per tablet of active ingredient was performed. The analysis was performed by dissolving a 0.550g sample of the antacid tablet in 75.00mL of …
  6. English

    Is it passive or active voice? Many clothes (we're given) to the homeless shelter. Passive By the end of today, the students (will have mastered) the grammar. Active My aunt Margot ( has been traveling) with her daughter. Active The
  7. Chemistry

    If a tablet of TUMS contains 500mg of the active ingredient, CaCO3, how many tablets would it take to neturalize the 1.5g of HCl?
  8. Math

    A pill weighs 70 mg. 7/9 of the pill is the active ingredient. How many milligrams are in the part of the pill that is not the active ingredient?
  9. Math

    Help me set up the matrices for this! I can solve it, but having a difficult time getting the matrix set up. A pharmacist mixes together three types of vitamin tablets. Each Tablet A contains, among other things, 12 mg of niacin and …
  10. chemistry

    The active ingredients of an antacid tablet contained only magnesium hydroxide and aluminium hydroxide. Complete neutralization of a sample of the active ingredients required 48.5 ML of 0.187 M hydrochloric acid. The chloride salts …

More Similar Questions