Algebra I
Activity:
Bewildered Babies
Posted on May 12, 2008
Topic: Data Analysis & Statistics
Students test the limits of the combinations formula by applying it to a labeling situation. After making charts and using logic to list possible label arrangements, students compare their results with the output of the combinations formula and nCr command.
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Activity Key Steps:
In this problem, students explore combinations. They investigate a scenario of four babies who are given the wrong identification bracelets.
Students find the number of ways that the babies can be labeled so that 2 bracelets are correct and 2 are incorrect. Then students are given the opportunity to explore a case with five and three babies.
Students use the Combination formula to verify their answers.
Then use the nCr command to find the number of combinations.
In problem 2, students explore probability. They use combinations to find the probability of two bracelets being correct.
At the end of this activity, students will be able to evaluate expressions that involve factorials and theoretical probability. They will also be able to use the Fundamental Counting Principle to determine the number of outcomes in a sample space.