Module 8: Permutations, Combinations, and the Binomial Theorem

 

Try This 3

 

This is a photo of young children lining up for a school bus.

Purestock/Thinkstock

Ten children line up to go on the school bus. In how many ways can the children line up? Draw ten blanks to represent the ten places in line.

 

 

_ _ _ _ _ _ _ _ _ _

  1. How many possible children could be in the first spot in line?
  2. Now that one child has been placed first in line, how many possible children could be in the second spot?
  3. Finish determining the number of possibilities for each place in line.
  4. Use the fundamental counting principle to calculate the total number of ways the children can be lined up.

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Did you find 3 628 800 ways the children could be lined up?