how many distinct permutations can be formed using the letters of the word "GRIPPING"
The word "GRIPPING" has 8 letters, but there are repeated letters. To find the number of distinct permutations, we need to consider the number of times each letter occurs.
The letter "G" occurs once.
The letter "R" occurs twice.
The letter "I" occurs twice.
The letter "P" occurs twice.
The letter "N" occurs once.
The formula to find the number of distinct permutations for a word with repeated letters is:
n! / (n1! * n2! * n3! * ...),
where n is the total number of letters and n1, n2, n3, ... are the frequencies of each letter.
Using this formula, the number of distinct permutations for the word "GRIPPING" is:
8! / (1! * 2! * 2! * 2!) = 8! / 8 = 40,320 / 8 = 5,040.
So, there are 5,040 distinct permutations that can be formed using the letters of the word "GRIPPING".