ng%202021%20(3).pdt2 / 3100%4. A club has 25 members. In how many ways can the President, Vice-President, Secretary, and Treasurer be chosen, if these positions must beheld by different members?5. A group of 22 employees selects 3 people to serve on a negotiatingcommittee. In how many ways can this subgroup be chosen?6. How many 4-digit codes can be formed from the integers 0, 1, 2, 3, 4, 5, 6,7,8, and 9 if the first digit cannot be zero, and digits cannot repeat?7. A license plate consists of three letters followed by 3 digits. No vowels (A,E, I, O, U) can be used and the digit 0 cannot be the first digit. How manysuch license plates are possible? (Letters and numbers may repeat.)A coin is tossed three times. List all the outcomes, using H for heads and Tfor tails.9. From a group of 10 sophomores and 8 freshmen, a subset of 5 students isformed consisting of 3 sophomores and 2 freshmen. How many suchcombinations are possible?10.Given a set of 5 non-collinear points: A, B, C, D, and E. How many distinctlines can be drawn?11. A true-false quiz contains 5 questions. How many different arrangementsof true and false are possible, assuming that the quiz will not have 5 trueanswers nor 5 false answers?Iyabrt scdelete144 ections: Do all problems on separate paper. Show work or explain clearly. Ifu are basing your solution on a formula, state the formula you are using.aluate answers. Do not write an answer without support.ch question is worth 2 points.1. Six friends, A, B, C, D, E, F go to the movies together and sit in a row. Inhow many ways can they sit if person D must have the aisle seat (there isonly one aisle seat)?2. In how many ways can 10 people sit at a round table?3. How many different arrangements of the letters in the word TENNESSEEare there?4. A club has 25 members. In how many ways can the President, Vice-President, Secretary, and Treasurer be chosen, if these positions must beheld by different members?5. A group of 22 employees selects 3 people to serve on a negotiatingcommittee In how many ways can this subgroun be chosen?ort scdelete8.backspace

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As you have asked many questions. As per the answering guidelines we will solve first question only.…

4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and Treasurer be chosen, if these positions must be held by different members?