document.write( "Question 379058: is there 362880 distinguishable of the letters in the word TEXTBOOKS? explain. \n" ); document.write( "

Algebra.Com's Answer #269199 by richard1234(7193) $\"\"$ $\"About$

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If all of the letters in TEXTBOOKS were distinct, then there would be 9! = 362,880 ways to arrange the letters. However, there are two O's and two T's. To deal with this over-counting, we divide by 2 to account for the O's (since something like BOTXKOTSE is counted twice) and divide by 2 again for the T's. This leaves us 9!/4, or 90,720 distinguishable ways. \n" ); document.write( "

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