Why isnt this player.Name script working? NOT ANSWERED

I made a script yesterday and today I fixed up so it should work but its still doesn't. I want to have the player's name show up in a textlabel. I have 16 players (max) in the game so that would mean 16 textlabels. Would I have to put this script inside each one (of course the name of the txtlabel would be different)?

To sum up : How do I get the player's name to show and Would I put this into 16 different txt labels?

script :

game.Players.PlayerAdded:connect(function(player)

for _, player in pairs(game.Players:GetPlayers()) do
game.StarterGui.MainGui.MenuButton.Lobby["Player1" .. game.Players.NumPlayers].Text = player.Name
end

end)

There are some problems with your design. ex What happens if 2+ players leave, followed by someone else joining? You will potentially overwrite the TextLabel for someone who is still in the game.

Instead, do this:

local lobby = game.StarterGui.MainGui.MenuButton.Lobby
game.Players.PlayerAdded:connect(function(player)
	local ch = game.Players:GetPlayers()
	for i = 1, #ch do
		lobby["Player" .. i].Text = ch[i].Name
	end
	for i = #ch + 1, 16 do --clear the unused TextLabels
		lobby["Player" .. i].Text = ""
	end
end)

Now each label is guaranteed to hold the name of a player in the game (or be an empty string).