document.write( "Question 1082301: a. How many ways are there of arranging three different math books, five different history books, and four different French books side by side on a shelf if the books of the same subject must be together?\r
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document.write( "b. How many arrangements of these books are possible if a math book must be on each end and the French books are together?
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Algebra.Com's Answer #696349 by addingup(3677)![]() ![]() You can put this solution on YOUR website! You have 3 math, they can each be placed on one end, the other, or in the middle, so this is 3! \n" ); document.write( "Now you have 5 hist. books, they can each go in any of 5 positions: 5! \n" ); document.write( "And the French books 4! \n" ); document.write( "Finally, you have books on three subjects, they are grouped but the group can go on the left of the other groups, or the middle, or the right: 3! \n" ); document.write( "3! x 5! x 4! x 3! = 103,680 ways \n" ); document.write( " |