Probablity answer and homework

 

10d) How many combinations are there if the word “WEEKS” is scrambled?

5! (there are five letters in this word) = 120

2! (there are two E) = 2

Combinations = 5! ¸ 2! = 120 ¸ 2 = 60

 

10e) How many combinations are there if the word “CANADA” is scrambled?

6! (there are five letters in this word) = 720

3! (there are three A) = 6

Combinations = 6! ¸ 3! = 720 ¸ 3 = 240

 

 

What if some words have more than one repeating letter?

For instance, “CLASSROOMS”, three “S” and two “O”

The answer is 10! ¸ 3! ¸ 2! = 30240 ways [3! = three “S”; 2! = two “O”]

 

Your turn

10e) How many combinations are there if the word “MISSISSAUGA” is scrambled?

 

 

10e) How many combinations are there if the word “SASKATCHEWAN” is scrambled?