Table of Contents
How do you find the number of pairs?
= n(n-1) / 2! = n(n-1) / 2 which is our formula for the number of pairs needed in at least n statements.
How do you find two numbers that sum and product are given?
If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.
How do you find the value of two numbers if their sum is 12 and their difference is 4?
The value of two numbers if their sum is 12 and their difference is 4 are 8 and 4.
What does it mean when it says solve for Y in terms of X?
Answer: When we explicitly express the dependant variable (Y) in relation to the independent variable (X), we call that as ‘Y is expressed in terms of X’. Let us understand more about algebraic expression and thereby find the answer to the given question.
How many pairs are there in 48?
The pair factors of 48 are (1, 48), (2, 24), (3, 16), (4, 12), (6, 8).
How do you find the number of pairs in an array?
Simple Approach: Sort the given array so that all the equal elements are adjacent to each other. Now, traverse the array and for every element if it equal to the element next to it then it is a valid pair and skip these two elements.
What are the factors of 72 in pairs?
The pair factors of 72 are (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9).
How do you count the number of pairs in a list Python?
It can be done in another way:
- Take the first element of the array.
- Count the number of elements equal to it in the array.
- Call pairs over the length of the filtered array of step 2.
- Add the result of pairs to an accumulator (previously initalized at 0).
Where is the product X ⋅ Y is maximum?
We would like to find where the product x ⋅ y is maximum, but from the above equation we can write: x ⋅ y = x ⋅ (40 −x) = −x2 + 40x. So we now have a one-variable function f (x) = − x2 +40x, and must find a positive value of x where the function f reaches a maximum.
How do you find the Count of pairs in a binary search?
For every x in X [], find the index idx of the smallest number greater than x (also called ceil of x) in Y [] using binary search, or we can use the inbuilt function upper_bound () in algorithm library. All the numbers after idx satisfy the relation so just add (n-idx) to the count. If x = 0, then the count of pairs for this x is 0.
How do you find two positive real numbers whose sum is 40?
How do you find the two positive real numbers whose sum is 40 and whose product is a maximum? We would like to find where the product x ⋅ y is maximum, but from the above equation we can write: x ⋅ y = x ⋅ (40 −x) = −x2 + 40x.