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# Math

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1) Determine the number of ways to arrange the letters in BEEPER.
2) Determine the number of ways to arrange the letters of TENNESSEE.

wiskdls  Apr 28, 2018
#1
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1)  BEEPER.

6! / 3! = 120 Number of  distinct arrangements.

2) TENNESSEE.

9! / 4!.2!.2! =3,780 Number of distinct arrangements.

Guest Apr 28, 2018
#2
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More detailed:

1.

Since there are 6 letters, and 3 of  same letters are repeating, we can easily do: $$\frac{6!}{3!}=6*5*4=120$$

2.

Since there are 9 letters, and E is repeating 4 times, N is repeating 2 times, and S is repeating 2 times, the answer is

$$\frac{9!}{4!*2!*2!}=\frac{9*8*7*6*5}{2*2}=3780$$

tertre  Apr 28, 2018