The number of full-time and part-time employees of an online retailer increased exponentially from 69 thousand in 2011 to 306.9 thousand in 2016. a) Let t=0 correspond to 2011 and t= 5 correspond to 2016. Then t is the number of years after 2011. Use the data points (0,69) and (5,306.9) to find the exponential growth rate and fit an exponential growth function P(t) = Po e kt to the data, where P(t) is the number of employees, in thousands, t years after 2011. b) Use the function found in part (a) to estimate the number of employees in 2017. c) According to this model, when will there be one million employees? a) P(t) =D (Type your answer using exponential notation. Use integers or decimals for any numbers in the equation. Do not round until the final answer. Then round to the nearest thousandth as needed.)

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.