Four coins are tossed simultanously.
In how many distinct ways these coins can show up?
I think it is going to be 16.
Do u guys agree with me?
CaptainBlack raised a legitimate point.
If the four coins are distinct -- say, a penny, nickel, dime, and a quarter --
. . then there are: . outcomes.
If the four coins are identical, we may be counting the Heads and Tails only.
In this case, there are only 5 outcomes:
. . All Heads
. . 3 Heads, 1 Tail
. . 2 Heads, 2 Tails
. . 1 Head, 3 Tails
. . All Tails