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.
![### Question 12:
When you raise a positive whole number to a power that is a negative integer, you get a negative number as an answer. *
- ( ) true
- ( ) false
**Explanation:**
This question is addressing the misunderstanding that raising a positive number to a negative exponent results in a negative number. In reality, raising a positive whole number to a negative exponent results in the reciprocal of the number raised to the corresponding positive exponent. This will always be a positive fraction (or a positive number less than one) as long as the base is positive.
**For example**:
\[ 2^{-2} = \frac{1}{2^2} = \frac{1}{4} \]
So the correct answer is:
- false](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ccce79e-bd16-4317-afb7-3c3804fce948%2Fcd203ba1-731f-425e-b44c-86379210a769%2Foidf1vo_processed.jpeg&w=3840&q=75)
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