Question: . 1n how many ways can the integers 1, 2, 3, 4, 5 be arranged so that no two adjacent positions contain a pair of

. 1n how many ways can the integers 1, 2, 3, 4, 5 be arranged so that no two adjacent positions contain a pair of consecutive integers in increasing order? For example, 54231 would not be allowed because \"23\" appears, and 45321 would not be allowed because \"45\" appears, but 54132 would be allowed. . At an ice cream shop, customers can choose from hot fudge, whipped cream, and sprinkles to top their ice cream. Of the 60 customers who came in one day, 30 got hot fudge, 36 got whipped cream, and 22 got sprinkles. 15 got hot fudge and whipped cream. 10 got whipped cream and sprinkles. 11 got hot fudge and sprinkles. 4 customers got all three toppings. (a) How many customers got no toppings? (b) How many customers got exactly one topping

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