Answer: 120
Step-by-step explanation:
The number of ways to arrange n things of which 'a' things are identical , 'b' things are identical and so on...... :-
\(\dfrac{n!}{a!\ b!......}\)
Given Word : DEGREE
Total letters = 6
Here letter E is repeated 3 times.
Then, the number of unique ways to arrange the letters in the word "DEGREE " will be :-
\(\dfrac{6!}{3!}=\dfrac{6\times5\times4\times3!}{3!}=120\)
Hence, the number of distinct arrangements for the letters in the word "DEGREE "=120
