MATH PUZZLE

Question

You are playing a popular board game which involves playing tiles with letters on them and earning points by spelling words. You have seven tiles on your rack: C, O, M, B, E, N, I. How many distinct arrangements of these seven tiles are there? (For example: M, O, C, B, E, N, I is another distinct arrangement.)

Answer 1

You appear to only be looking for

the possible number of permutations

of all 7 tiles.

That is 7! = 5,040 ways to arrange

all 7 tiles.

 

Pretty sure I would play the word "combine"... lol

Answer 2

1 letter answers = 7

 

2 letter answers = 7x6=42

 

3 letter answers = 7x6x5=210

 

4 letter answers = 7x6x5x4 = 840

 

5 letter answers = 7x6x5x4x3=2520

 

6 letter answers = 7x6x5x4x3x2=5040

 

7 letter answer = 7x6x5x4x3x2x1 = 5040

 

add them together to get the total