How many different three letter "words" can be made from the word ORANGE if repetition of letters is not allowed?

A. 18
B. 120
C. 216
D. 20

Question

How many different three letter "words" can be made from the word ORANGE if repetition of letters is not allowed?

A.	18
B.	120
C.	216
D.	20

anonymous · Answer

this is a math question?

shane_b · Answer

Yea, it is actually.

ORANGE has 6 letters....so the answer is $$\frac{6!}{3!}=120$$

anonymous · Answer

The first letter can be any one of the 6 letters of the words
the second letter any one of the remaining 5, 
and the third any of the remaining 4

So the number is 6 * 5 * 4 = 120

Because the order of the letters is important, the question is essentially
what is 6 permute 3

How many different permutations of 3 things can be taken from 6 things. The answer is 
6! / 3! = 120

shane_b · Answer

Someone knows how to google!

anonymous · Answer

Well if it exists why not use it?

anonymous · Answer

Lol thanks guys!

anonymous · Answer

oh. I added the word "meaningful" to the question

shane_b · Answer

Good job :)