Please help combinations and permutations

Question

please I need help with this question. I need an explanation.
1- In a cribbage game with 2 people, each player is dealt 6 cards to start a round. How many 6-card hands are possible?

 

would it be C(52, 6) or (52, 6) + (46, 6) for the 2nd player. or is it C(52, 12)

2-In a cribbage game with 3 or more people, only 5 cards are dealt to each player. How many fewer 5-card hands are available than 6-card hands?

Answer 1

1)  # of ways to deal a 6 card hand for cribbage is 52C6.  The person receiving these six cards keeps four of them, and places two unwanted one into the 'crib.'

 

2) 52C5 is number of possible five card dealings.

 

Calculate these two numbers, and subtract, to find out how many fewer 5-card hands there could be.