I'm struggling.
The answer is 360 but I have no idea how to do this.
The answer is 360 but I have no idea how to do this.
-
There are 6 letters in the word "school" but "o" is repeated twice. so to account for that, the equation goes as follows:
6! / 2!
= (6x5x4x3x2x1) / (2x1) ...then the 2 and 1 cancel out
= 6x5x4x3
= 360
:) hope that helped, if you need to know more about combinations/permutations lemme know
6! / 2!
= (6x5x4x3x2x1) / (2x1) ...then the 2 and 1 cancel out
= 6x5x4x3
= 360
:) hope that helped, if you need to know more about combinations/permutations lemme know
-
school ---> 6 letters, 2 occurrences of 'o', 1 occurrence of each remaining 4 letters
Number of ways to arrange letters in school: 6! / (2! * 1! * 1! * 1! * 1!) = 6!/2! = 360
Each factorial in denominator corresponds to occurrences of each letter in the word. Of course we can leave out factorials for letters that occur just once.
For example the word "MISSISSIPPI" has 11 letters, with1 M, 4 I's, 4 S's, 2P's
So the number of ways the letters in MISSISSIPPI can be arranged is:
11! / (4! * 4! * 2!) = 34,650
Number of ways to arrange letters in school: 6! / (2! * 1! * 1! * 1! * 1!) = 6!/2! = 360
Each factorial in denominator corresponds to occurrences of each letter in the word. Of course we can leave out factorials for letters that occur just once.
For example the word "MISSISSIPPI" has 11 letters, with1 M, 4 I's, 4 S's, 2P's
So the number of ways the letters in MISSISSIPPI can be arranged is:
11! / (4! * 4! * 2!) = 34,650
-
I the answer is 36. I think you messed up. Think about it. There are 6 letters in school. So and there are six different places you can put each letter. 6*6 is 36 not 360.