Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.

(a) How many ways can this be done, if the order of the choices is relevant?

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(b) How many ways can this be done, if the order of the choices is not relevant?

Choose the triangle with x equal to 17.

Which of the following is a solution of z^6 = 64i? 2(cos105° + isin105°) 2(cos120° + isin120°) 2(cos135° + isin135°) 8(cos15° + isin15°)

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain