Consider $5$ cards, each has a distinct value from the set $\{2,3,4,5,6\},$ so there are $5$ different values, and we put them face down on the table. There are $5$ players and each player is given a number from $2$ to $6,$ such that no two players have the same number. Each player is given a card by a dealer. A player loses if the value of the given card coincides with the value that player has. If no player loses, then the dealer loses.
How many ways are there so that the dealer loses?
