document.write( "Question 941444: Given the word BASKETBALL, How many permutations begin with the letter K? And How many permutations have the 2 L's together? \n" ); document.write( "
Algebra.Com's Answer #577084 by Edwin McCravy(20056)\"\" \"About 
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Given the word BASKETBALL. How many permutations begin with the letter
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document.write( "This is the same as the number of distinguishable arrangements of\r\n" );
document.write( "\"BASETBALL\" (with no \"K\"), because we can insert a \"K\" in front of\r\n" );
document.write( "each distinguishable arrangement of \"BASETBALL\" and have a \r\n" );
document.write( "distinguishable arrangement of \"BASKETBALL beginning with \"K\".\r\n" );
document.write( "\"BASETBALL\" has 9 letters, with 2 indistinguishable A's, 2 \r\n" );
document.write( "indistinguishable B's, and 2 indistiguishable L's.  So there are \r\n" );
document.write( "\"9%21%2F%282%212%212%21%29\" = 45360 distinguishable arrangements of \"BASETBALL\"\r\n" );
document.write( "that we can insert a \"K\" in front of to make a distinguishable \r\n" );
document.write( "arrangement of \"BASKETBALL\" which begins with \"K\".\r\n" );
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document.write( "Answer: \"9%21%2F%282%212%212%21%29\" = 45360\r\n" );
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\n" ); document.write( "And How many permutations have the 2 L's together?
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document.write( "This is the same as the number of distinguishable arrangements of\r\n" );
document.write( "\"BASKETBAL\" (with just 1 \"L\"), because we can insert another \"L\" beside\r\n" );
document.write( "each \"L\" in each distinguishable arrangement of \"BASKETBAL\", and have\r\n" );
document.write( "a distinguishable arrangement of \"BASKETBALL\" with 2 \"L\"'s together. \r\n" );
document.write( "\"BASKETBAL\" has 9 letters, with 2 indistinguishable A's and 2 \r\n" );
document.write( "indistinguishable B's. So there are \"9%21%2F%282%212%21%29\" = 90720 \r\n" );
document.write( "distinguishable arrangements of \"BASKETBAL\" into which we can insert\r\n" );
document.write( "another L beside each \"L\" to make a distinguishable arrangement of \r\n" );
document.write( "\"BASKETBALL\" with the two \"L\"'s together.\r\n" );
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document.write( "Answer: \"9%21%2F%282%212%21%29\" = 90720\r\n" );
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document.write( "Edwin
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