How many deranged anagrams exist of the word memes so that no letter ends up in its original position and no letter ends up in the original position of an identical letter.

How many 3-letter 'words' (i.e. character strings which may be nonsense words) can we make from the letters 'catnip'. (used at most once) in the word

Will play a two-player game, for which we say the numbers from 1 up to 25 in increasing order without skipping any number. One player can say one, two, three or four numbers per turn before the next player's turn which can do the same thing. The game continues and the one who say the number "25" loses the game. Is it better to be the first player or the second player? What is the winning strategy if there's any

(8) Suppose a license plate contains two letters followed by three digits with the first digit not zero. How many different license plates can be printed, if repetition of letters and digits are allowed?