(Solved): 12. In honor of Valentine's day: (show How many 3 letter words can we make with the letters in the ...

12. In honor of Valentine's day: (show How many 3 letter words can we make with the letters in the word LOVE? How many of these words would be considered unique combinations? bonus: How many 7 letter words are possible if none of the words can have more than two of the same letter in a row? 13. The deck for some board game $${}^{?M}$$ contains 26 unique cards. At the star of the game each player gets 4 total cards. a) How many combinations of card hands are possible? b) If three players have already been given their cards, how many combinations can the hand of the $$4^{\text{th }}$$ player contain? c) If the cards are instead placed on to the board in 6 locations to establish the start conditions, how many possible ways can the games begin? d) 3 dice are rolled to start the game, how many combinations of the total value could happen if one of the dice must be a $$6?$$