Discrete Mathematics Questions:1. A die is tossed twice and the numbers showing on the top faces are recorded in sequence. Determine the element in each of the given events:a. At least one of the numbers is 5.b. At least one of the numbers is an 82. Solve the recurrence relation: an = 4an-1 + 5an-2 were a1 = 2 and a2 = 63. Calculate: 5!/7!4. Calculate 5C55. In how many ways can a five card hand be dealt from 52 cards?
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