document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164489>Question 1164489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many different ways can the letters of the word BADMINTON be<BR>\n" );
document.write( "arranged such that all consonants are always together? </SPAN>\n" );
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document.write( "Since the 6 consonants are to be together, put them in a single group.  That gives us 4 items to be put in some order -- the 3 vowels, and the group of 6 consonants.<br><BR>\n" );
document.write( "Those 4 items can be arranged in 4! = 24 different ways.<br><BR>\n" );
document.write( "Within the group of 6 consonants, or which 2 are the same, the number of arrangements is 6!/2! = 720/2 = 360.<br><BR>\n" );
document.write( "The total number of arrangements with the 6 consonants together is then 24*360 = 8640.<br><BR>\n" );
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