You are vastly overthinking this.ack said:I already tried that.x can be 2^0,2^1,2^2or2^3 that is 4 ways ,2ways for 3and 4ways for 5.But what about y?
I thought of another method ,
using AM>GM,
x+y+z>=43 and max can be 3002 (when one of them is 3000 nd the other two 1 each.)
Then use multinomial theorem.Can this be done?
"Positive integral solutions" refers to the set of whole numbers (also known as integers) that are greater than zero, and can be used to solve a given equation or problem.
The number of positive integral solutions can be found by using mathematical techniques such as combinatorics, algebraic manipulation, or by creating a table or chart to systematically list out all possible solutions and then counting them.
Yes, there can be multiple positive integral solutions for a given equation. These solutions can be found by systematically substituting different values for the variables in the equation until a valid solution is found.
Yes, there are limitations to finding positive integral solutions. These limitations can vary depending on the specific equation or problem being solved and may include restrictions on the values of the variables, the number of variables, or the type of equation.
Positive integral solutions are used in various real-life applications such as in engineering, computer science, and economics to solve problems and make predictions. For example, they can be used to find the optimal number of items to produce in a manufacturing process or to determine the most efficient route for a delivery truck.