6 More Counting Problems 1. How many ways are there to permute the letters in word CONNECTICUT? 2. How many ways are there to deal hands from a standard deck of 52 cards to 3 players if each player gets exactly 6 cards (and the undealt cards remain in the deck)? 3. How many ways are there to deal hands from a standard deck of 52 cards to 2 players if each player gets exactly 6 cards and the first player's highest scoring card card is higher than the second's player highest scoring card. Recall that there are 13 ranks, and 4 cards of each rank, in the standard deck of 52 cards. The scoring of every card is determined as follows: We denote a card as (s,r) where s is a suit and r is a rank. Suits are clubs, diamonds, hearts, and spades but we encode them as resp. 1, 2, 3, 4. The ranks are A, 2, 3, ..., 9, 10, J, Q, K, but we encode them as 1, 2, 3,., 13. We then say that card (s1, r₁) is higher than card (s2, r2) if either r₁ > r2 or (r1 r2 and s₁ > 82).