9. How many subsets of cardinality 5 can be chosen from the set {1, 2, ...,...

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9. How many subsets of cardinality 5 can be chosen from the set {1, 2, ..., 99} if (a) the subset must contain only even numbers? (b) 50 must be included in the subset, and the other 4 elements must be larger than it? (c) at most two elements of the set can be even? 10. Compute the number of ways of dividing 18 guests into three groups of six and seating them around three (non-distinct) round tables with six seats each. 9. How many subsets of cardinality 5 can be chosen from the set {1, 2, ..., 99} if (a) the subset must contain only even numbers? (b) 50 must be included in the subset, and the other 4 elements must be larger than it? (c) at most two elements of the set can be even? 10. Compute the number of ways of dividing 18 guests into three groups of six and seating them around three (non-distinct) round tables with six seats each.