Question 1178850
Six math books, five science books, and two English books are to be arranged on a shelf, so that books of the same subject must be together. How many ways can this be done? *
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Math books: 6! ways to arrange them
Science books: 5! ways to arrange them
English books: 2! ways to arrange them<br>

6!*5!*2! = 720*120*2 = 172800 ways to arrange the Math, Science, and English books together, in that particular subject order.<br>

You can also arrange the three subjects in 3! ways, bringing the total number of arrangements to:<br>
   (172800)*3! = 172800*6 = {{{highlight( 1036800 )}}} ways