Respuesta :
To find the number of distinct arrangements of the 8 letters in EMBEDDED, where two of the same letter are considered identical (not distinct), we first calculate the total number of arrangements, and then divide by the factorial of the number of times each letter appears.
In the word EMBEDDED:
- There are 8 letters in total.
- The letter E appears 3 times.
- The letter B appears 2 times.
- The letters M, D are unique and appear only once.
The total number of arrangements without considering identical letters as distinct is:
8
—
3!x2 = 40320
——-
6x2
=3360
So, there are 3360 distinct arrangements of the letters in EMBEDDED when two of the same letter are considered identical.
In the word EMBEDDED:
- There are 8 letters in total.
- The letter E appears 3 times.
- The letter B appears 2 times.
- The letters M, D are unique and appear only once.
The total number of arrangements without considering identical letters as distinct is:
8
—
3!x2 = 40320
——-
6x2
=3360
So, there are 3360 distinct arrangements of the letters in EMBEDDED when two of the same letter are considered identical.
