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An experiment uses three jars A, B and C. Jar A contains five balls numbered 1-5, Jar B
Chapter 8, Problem 3(choose chapter or problem)
An experiment uses three jars A, B and C. Jar A contains five balls numbered 1 - 5. Jar B contains ten balls numbered 6 - 15 and jar C contains ten balls numbered 16 - 25. The experiment consists of selecting three balls from jar A, two balls from jar B, and one from jar C. How many outcomes are possible?
Questions & Answers
QUESTION:
An experiment uses three jars A, B and C. Jar A contains five balls numbered 1 - 5. Jar B contains ten balls numbered 6 - 15 and jar C contains ten balls numbered 16 - 25. The experiment consists of selecting three balls from jar A, two balls from jar B, and one from jar C. How many outcomes are possible?
ANSWER:Step 1 of 3
Given that jar A contains five balls numbered 1 - 5, jar B contains ten balls numbered 6 - 15 and jar C contains ten balls numbered 16 - 25.
Three balls from jar A, two balls from jar B, and one ball from jar C are selected.
To determine the number of possible outcomes.
It is known that r different objects can be selected from n different objects in \(C_{r}^{n}\) ways.
Also, by the fundamental principle of counting, if work A can be done in m different ways and for each of these ways, work B can be done in n different ways, then together works A and B can be done in \((m \times n)\) ways.