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DETERMINE HOW MANY FIVE-CHARACTER CODES CAN BE FORMED IF THE FIRST, SECOND, AND THIRD CHARACTERS ARE LETTERS, THE FOURTH CHARACTER IS A NONZERO DIGIT, THE FIFTH CHARACTER IS AN ODD DIGIT,

Determine how many five-character codes can be formed if the first, second, and thirdcharacters are letters, the fourth character is a nonzero digit, the fifth character is an odd digit,and repetition of letters and digits are allowed. (A digit is 0, 1, 2, .., or 9.) Show your work. 1.______A.92B.3,510C. 312,000D. 790,9202. (5 pts) Suppose that a multiple choice exam has seven questions and each question has fivechoices. In how many ways can the exam be completed? Show your work.A.B.C.D.3. (5 pts)2. ______354,09616,80778,1253. _______1Given the feasible region shown to the right,find the values of x and y that minimize theobjective function 7x + 8y. Show your work.A.B.C.D.E.There is no minimum.(x, y) = (6, 0)(x, y) = (3, 2)(x, y) = (1, 4)(x, y) = (0, 7)4. (5 pts) Five customers in a grocery store are lining up at the check-out. In how many differentorders can the customers line up? Show your work.A.5B.25C.120D.3,1254. _______5. (5 pts) A restaurant’s menu has six appetizers, five entrees, and four beverages. To orderdinner, a customer must choose one entrée and one beverage, and may choose one appetizer.(That is, a dinner must include one entrée and one beverage, but not necessarily an appetizer. Anappetizer is optional.) How many different dinners can be ordered? Show your work.5. _______A.B.C.D.1401202415

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