Question

How many different arrangements of the letters in the word PARALLEL are there? is it 40,320??

Answer 1

PARALLEL has 8 letters

A repeats twice
L repeats thrice

so the permutation becomes
\[\frac{8!}{2!3!}\]

Answer 2

13440?

Answer 3

wait..

Answer 4

nope

Answer 5

3,360?

Answer 6

right

Answer 7

\[3 \times 4 \times 5 \times 7 \times 8 = ??\]