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Ewan makes chessboards from wood. Each board has 3 different kinds of wood.He has 5...

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ashcash94 | Student, Grade 10 | (Level 2) eNoter

Posted September 18, 2012 at 2:35 AM via web

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Ewan makes chessboards from wood. Each board has 3 different kinds of wood.

He has 5 kinds of wood in his workshop: maple, cherry, walnut, poplar, and birch. How many different types of chessboards can he make?

 

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 18, 2012 at 2:42 AM (Answer #1)

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Ewan has 5 kinds of woods and each chess board requires 3 different kinds of woods.

Using them the number of different kinds of chess boards that can be made is C(5, 3)

= `(5!)/(3!*(5 - 3)!)`

=> `(5!)/(3!*2!)`

=> `(5*4)/2`

=> 10

Ewan can make 10 different types of chess boards.

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