Question

i'm a little confused here,
four different colored flags can be hung in a row to make coded signals. How many flags can be made if a signal consists of the display of one or more flags?

I don't know how the answer became 64.

Answer 1

one flag, 4 ways
two flags \(4\times 3=12\) ways
three flags \(4\times 3\times 2=24\) ways
four flags ...

Answer 2

i assume it meant "how many SIGNALS...." not how many flags...

Answer 3

i think so.

Answer 4

i used permutation and i got 64.

Answer 5

add em up
\[4+12+24+24\]

Answer 6

ok, thank you.