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**+1 **

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**+2 **

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