The sales, S, of a product have declined in recent years. There were 202 million sold in 1984 and 1.3 million sold in 1994. Assume the sales are decreasing according to the exponential decay model, S(t) = S, e - kt a) Find the value k and write an exponential function that describes the number sold after time, t, in years since 1984. b) Estimate the sales of the product in the year 2002. c) In what year (theoretically) will only 1 of the product be sold? a) Rounded to six decimal places, k =
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.
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