document.write( "Question 1172863: Using the letters of word $\"GANAPATI\"$ how many words can be formed such that all $\"three\"$ $\"A\"$ come before $\"I\"$ \n" ); document.write( "

Algebra.Com's Answer #798017 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "By a well known counting principle, the number of distinct arrangements of the letters GANAPATI is

\n" ); document.write( " $\"8%21%2F3%21+=+6720\"$

\n" ); document.write( "Looking at just the four letters AAAI, the number of distinct ways to arrange them is 4; in only one of them does the I come after all three A's.

\n" ); document.write( "So the number of ways of arranging the letters GANAPATI in which all three A's come before the I is

\n" ); document.write( " $\"6720%2F4+=+1680\"$

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