document.write( "Question 134852: How many distinguishable permutations of letters are possible in the word BASEBALL?
\n" ); document.write( "The answer is supposed to be 5040. \n" ); document.write( "

Algebra.Com's Answer #98699 by vleith(2983) $\"\"$ $\"About$

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The number of letters is 10. But 3 sets show up twice.\r
\n" ); document.write( "\n" ); document.write( "If there are n objects with n1 duplicates of one kind, n2 duplicates of a second kind, ..., nk duplicates of a kth kind, then the number of distinguishable permutations of these n objects is\r
\n" ); document.write( "\n" ); document.write( " n!/(n1!n2!...nk!)
\n" ); document.write( "see --> http://www.ltcconline.net/greenl/Courses/103B/seqSeries/FACTORI.HTM\r
\n" ); document.write( "\n" ); document.write( "We get $\"10%21%2F%282%21%2A2%21%2A2%21%29\"$
\n" ); document.write( " $\"10%21%2F8\"$ \r
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