7. consider a regular deck of cards with 52 cards in total.(1) how many ways can we have a poker hand of 5 cards? (2) four of a kind is a poker hand that contains all four cards of one rank and anyother (unmatched) card. for example, 9♣9♠9♦9♥j♠is a "four of a kind". howmany ways can we have "four of a kind" ? (3) in a poker hand of 5 cards, what’s the probability of getting a "four of a kind"? (4) a full house is a hand that contains three matching cards of one rank and twomatching cards of another rank. for example, 3♣3♠3♦6♥6♠is a "full house". ina poker hand of 5 cards, what’s the probability of getting a "full house"? (5) in a poker hand, are getting a "four of a kind" and getting a "full house" mutuallyexclusive events? justify your answer.