A school is forming a four-member social committee from six grade 11 students and eight grade...

  

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A school is forming a four-member social committee from six grade 11 students and eight grade 12 students. a. Algebraically determine the total number of ways the committee may be formed. (1 mark) b. Algebraically determine the total number of ways the committee may be formed if the four committee members fill distinct roles for Chair, Vice Chair, Treasurer and Event Coordinator. (1 mark) c. Explain the difference between a permutation and combination using the different scenarios described from parts a and b above. (1 mark) d. Determine the total number of ways the committee from part a may be formed if there must be at least one student from each grade on the committee. (1 mark) A school is forming a four-member social committee from six grade 11 students and eight grade 12 students. a. Algebraically determine the total number of ways the committee may be formed. (1 mark) b. Algebraically determine the total number of ways the committee may be formed if the four committee members fill distinct roles for Chair, Vice Chair, Treasurer and Event Coordinator. (1 mark) c. Explain the difference between a permutation and combination using the different scenarios described from parts a and b above. (1 mark) d. Determine the total number of ways the committee from part a may be formed if there must be at least one student from each grade on the committee. (1 mark)