Average Level of Happiness at Different Times of Day 1 Noon 10 P.M. 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Time of Day 4. 3. 2. of Happiness Average Le vel
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.
A study of 900 working women in Texas showed that their feelings changed throughout the day. As the graph (see attached) indicates, the women felt better as time passed, except for a blip (that’s slang for
a. Does the graph have an inverse that is a function? Explain your answer.
b. Identify two or more times of day when the average happiness level is 3. Express your answers as ordered pairs.
c. Do the ordered pairs in part (b) indicate that the graph represents a one-to-one function? Explain your answer.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
