In how many ways we can arrange the letters of the word “ARRAGEET”?
Solution
Correct Answer: Option D
Total number of letters in ARRAGEET = 8
In the given word there are 2 “R”, 2 “A” and 2 “E”.
As we know that number of ways of arranging a letters out of which r are of same type, m are of same type, n are of same type and p are of same type = \(\frac{{{\text{a}}!}}{{{\text{r}}!{\text{m}}!{\text{n}}!{\text{p}}!}}\)
So total number of ways = \(\frac{{8!}}{{2!2!2!}} = 5040\)
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