Question

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

Answer 1

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

Answer 2

Answer: 120

Explanation:

The number of ways to arrange n things of which 'a' things are identical , 'b' things are identical and so on...... :-

`(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 :-

`(6!)/(3!)=(6*5*4*3!)/(3!)=120`

Hence, the number of distinct arrangements for the letters in the word "DEGREE "=120