The number N of US cellular phone subscribers (in millions) is shown in the table. (Midyear estimates are given.) t 1996 1998 2000 2002 2004 2006 N 44 69 109 141 182 233 (a) Find the average rate of cell phone growth between the fallowing years. In each case, include the units. (Round your answers to one decimal place.) (i) from 2000 to 2006 million phones/yr (ii) from 2002 to 2004 million phones/yr (iii) from 2000 to 2002 million phone/yr (b) Estimate the instantaneous rate of growth in 2002 by taking the average of the two average rates of change in (ii) and (iii). What are its units? million phones/yr
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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