How many different arrangements can be made with in the word NUMBER?

1 Answer

#6xx5xx4xx3xx2xx1=6! = 720#

Explanation:

There are 6 letters in the word Number and each of the letters is unique. This means we can put any one of the 6 letters first. And any one of the remaining 5 letters in the 2nd spot. And any one of the remaining 4 letters in the 3rd spot. And so on. This gives:

#6xx5xx4xx3xx2xx1=6! = 720#