How can you use multiplication in your everyday life?
1 answer:
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The functions have been arranged in ascending order from the least to the highest value below
- 3x
- 3x + 8
- x^2
- x^2 + 6
- 4^x
- 4^x + 3
This is used in mathematics as well as other disciplines to explain the order by which values are arranged. This arrangement is usually done in such a way that the smallest value would come first and continue to climb till we get to the value that is the highest.
The values here have been arranged in this order in such a way that the smallest values came first while the bigger values are at the end.
Read more on ascending numbers here:
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Answer: There are ways of doing this
Hi!
To solve this problem we can think in term of binary numbers. Let's start with an example:
n=5, A = {1, 2 ,3}, B = {4,5}
We can think of A as 11100, number 1 meaning "this element is in A" and number 0 meaning "this element is not in A"
And we can think of B as 00011.
Thinking like this, the empty set is 00000, and [n] =11111 (this is the case A=empty set, B=[n])
This representation is a 5 digit binary number. There are of these numbers. Each one of this is a possible selection of A and B. But there are repetitions: 11100 is the same selection as 00011. So we have to divide by two. The total number of ways of selecting A and B is the
.
This can be easily generalized to n bits.