+173 1) Determine the number of ways to arrange the letters in BEEPER.
2) Determine the number of ways to arrange the letters of TENNESSEE.
1) BEEPER.
6! / 3! = 120 Number of distinct arrangements.
2) TENNESSEE.
9! / 4!.2!.2! =3,780 Number of distinct arrangements.
+4622 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
\(\frac{9!}{4!*2!*2!}=\frac{9*8*7*6*5}{2*2}=3780 \)
