We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
158
1
avatar+630 

On the island of Mumble, the Mumblian alphabet has only 5 letters, and every word in the Mumblian language has no more than 3 letters in it. How many words are possible? (A word can use a letter more than once, but 0 letters does not count as a word.)

 Oct 25, 2018
 #1
avatar+625 
+16

Okay.

 

Let A, B, C, D, and E stand for the five letters of the Mumblian alphabet.

 

Each word can be from 1-3 letters long, and letters can repeat.

 

Okay. Lets start with the words with 1 letter in them.

 

There are \(\boxed {5}\) possibilites of this.

 

Next up, the words with 2 letters in them.

 

There are \(5 * 5 = \boxed {25}\) possible 2 letter words.

 

Last, the words with 3 letters in them

 

There are \(5 * 5 * 5 = \boxed {125}\) possible 3 letter words.

 

There are a total of \(5 + 25 + 125 = \boxed{\boxed{155}}\) total words possible.

 Oct 26, 2018

8 Online Users