a math teacher wants to keep books of the same subject together on his shelf. if he has 12 spaces for algebra, 4 geometry and 3 trigonometry books, in how many ways can they be placed on a shelf?
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A math teacher wants to keep books of the same subject together on his shelf. if he has 12 spaces for algebra, 4 geometry and 3 trigonometry books, in how many ways can they be placed on a shelf?
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The number of arrangements per book is determined as,
Since, there are 3! ways that the 3 different books of the same subject be grouped together. Now, let us apply the Fundamental Counting Principle formula. So,
Therefore, there are 68,976,230,400 ways can a math teacher to keep books of the same subject together on his shelf.