dE The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with respect to time t is given by = 30 - 8t, where t is the number of hours the operator has been at work. a) Find E(t), given that the operator's efficiency after working 2 hr is 76%; that is, E(2) = 76. b) Use the answer in part (a) to find the operator's efficiency after 3 hr; after 5 hr. a) E(t) =
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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