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I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, all the mathematics textbooks are together?

 Jan 14, 2024
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There is   4 P 4 ways to arange the block of 4 math books ....and 4 ways to place this block int groupof 7 

     4 P4   * 4 = 24 * 4   = 96 ways to arrange and place the math books 

then there are   4 P 3 ways to arrange the remaining  Psych books = 24 ways 

 

24 x 96 = 2304   ways to arrange the books . 

 Jan 14, 2024

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