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Please answer these questions with all working and logic explanation. Calculator can be used but please provide logic for conditionals events, combinatorial things and all.

Please answer these questions with all working and logic explanation. Calculator can be used but please provide logic for conditionals events, combinatorial things and all.

Problem 1 How many different 5 cards hands in a 32 card-deck (7, 8, 9,10, J, Q, K, A) can we form with a. No constraints? b. 5 diamonds or 5 spades? c. 2 diamonds and 3 spades? d. At least one king? E. 2 kings and 3 spades

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