Question 1172863
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By a well known counting principle, the number of distinct arrangements of the letters GANAPATI is<br>
{{{8!/3! = 6720}}}<br>
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.<br>
So the number of ways of arranging the letters GANAPATI in which all three A's come before the I is<br>
{{{6720/4 = 1680}}}<br>