The answer is c. The problem can be solved graphically
3.5x3-3.5 equals 7 if this is wrong I am very sorry
Hello! In slope-intercept form, y=mx+b. M is the slope and b is the y-intercept. The rate of change and slope are interchangeable, therefore, they both create a line through the slope-intercept form.
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Answer:
Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.
Step-by-step explanation:
As the complete question is not given a similar question is found online and is attached herewith.
Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.
Number of Candidates=12
Number of Posts=4
As the order is important the number of ways are identified using Permutations given as
![Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880](https://tex.z-dn.net/?f=Number%5C%2C%5C%20of%5C%2C%20ways%3D%5E%7B12%7DP_4%5C%5CNumber%5C%2C%5C%20of%5C%2C%20ways%3D%5Cfrac%7B12%21%7D%7B%2812-4%29%21%7D%5C%5CNumber%5C%2C%5C%20of%5C%2C%20ways%3D%5Cfrac%7B12%21%7D%7B8%21%7D%5C%5CNumber%5C%2C%5C%20of%5C%2C%20ways%3D11880)
So the number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.
Number of Candidates=12
Number of Posts=4
As the order is not important the number of ways are identified using Combinations given as
![Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495](https://tex.z-dn.net/?f=Number%5C%2C%5C%20of%5C%2C%20ways%3D%5E%7B12%7DC_4%5C%5CNumber%5C%2C%5C%20of%5C%2C%20ways%3D%5Cfrac%7B12%21%7D%7B%2812-4%29%214%21%7D%5C%5CNumber%5C%2C%5C%20of%5C%2C%20ways%3D%5Cfrac%7B12%21%7D%7B8%214%21%7D%5C%5CNumber%5C%2C%5C%20of%5C%2C%20ways%3D495)
So the number of ways in which the candidates can be appointed as members of the planning committee are 495.