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Q. There are 10 students on the school debating team. How many different ways can the team choose a president and a secretary?
Ans.
There are 10 choices for the president because every student on the team might be chosen for this position. Once the president is chosen, there are 9 students to choose from for the Secretary.
We can word this as: There are 10 choices for President AND 9 choices for Secretary. So, there are ways for the team to pick their President and Secretary. In this example there were 2 students chosen from 10.
In general, if r objects are chosen from n, then the number of possible permutations, denoted nPr, is
This formula can be written in terms of factorials. Consider a permutation of six objects out of 10. There are 10 ways to choose the first object, 9 ways to choose the second, and so on until all six objects have been selected.
In general,
In this task you are required to make use of trigonometric functions, research and use the Monte Carlo method of integration to determine areas under curves and perform calculation
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what is the tenths place
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