Question

How many distinct arrangements can you make using the letters in the word DEGREE

Answer 1

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

Answer 2

If you don't have to use all the letters then you can say greed, red