A teacher has 24 colored pencils and 18 pictures to be placed in groups with the same number of pencils in each group and the same number of pictures in each group. If each group must have the same type of items, how many groups of pencils and how many groups of pictures can be made? How many of each item will be in
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.
![**Section 5-2**
**Page #**
- *Book:* 179
- *Chapter:* 5-21
- *Exercise #* 1
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**Perform the indicated operation (w/o calculator).**
\[
-6 + 5 =
\]
**Note:** Recall operations over signed numbers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f86aa8d-c674-4fd0-8710-3811fc768ae9%2F9aa211e9-4b46-44b2-910f-ca63a1bbc754%2Fx8re068_processed.jpeg&w=3840&q=75)
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