Interview Question: TV Episodes

Sample Question #305 (statistics)
 
A children’s claymation show called Little People has five major characters: Eddie, Sarah Lynn, Sonya Lee, Maggie, and Michael. Each Little People show has five stories (episodes), each story focusing on one of the five characters. Now, the producers of the show try to not repeat the sequence of the characters featured from show to show. How many shows can they produce before they’re bound to repeat a sequence previously used?
 
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One Response to Interview Question: TV Episodes

  1. Brett says:

    ANSWERThis is an easy one to solve. It’s counting without replacement. There’re 5x4x3x2x1=120 ways to order the five characters uniquely.

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