à valley and a nearby mountain range. The table gives the altitude (in feet above sea level) for the five checkpoints in the race. Use the table to answer the questions. Checkpoint Altitude (feet above sea level) 691 3,042 - 193 - 49 1,843 (a) The top of a hill rises 528 feet above Checkpoint 3. What is the altitude of the top of the hill? (b) How much higher is Checkpoint 4 than Checkpoint 3? O ft higher 2.
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.
 alt="LHất goes through a valley and a nearby mountain range.
The table gives the altitude (in feet above sea level) for the five checkpoints in the race.
Use the table to answer the questions.
Checkpoint
Altitude
(feet above sea level)
1
691
3,042
3
- 193
4
-49
5
1,843
(a)
The top of a hill rises 528 feet above Checkpoint 3.
What is the altitude of the top of the hill?
(b) How much higher is Checkpoint 4 than Checkpoint 3?
I ft higher
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