Solution:
The number of words in which both A’s are together
is
the no. of words in which both A’s and both R’s are together is
therefore the no. of words in which both A’s are together but the tow R’s are not together is
The number of ways in which the letters of the word ARRANGE be arranged so that “two A’s are together but not two R’s”
The number of words in which both A’s are together
is
the no. of words in which both A’s and both R’s are together is
therefore the no. of words in which both A’s are together but the tow R’s are not together is