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4 votes
How many different arrangements of the letters in the word SCHOOL are there?

A) 1440
B) 720
C) 360
D) 120

User Narancs
by
6.2k points

2 Answers

2 votes

Answer:

360

Step-by-step explanation: Did the lesson

User Rainabba
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7.0k points
4 votes
Since the question asks for arrangement, it means order MATTERS here.

If you don't consider the duplication of 2 O's, then the total cases are:

6! = 720

However, we should eliminate the duplication cases of 2 O's:

Since for each arrangement, you can always switch 2 O's to create a duplicated case, for example, SCHOOL, you can switch the 2 O's but they are duplicated

So the final answer will be 720 / 2 = 360
User Jrturton
by
6.2k points
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