One. This somehow hints me at the usage of permutations.fresh_42 said:Do you count (23,1) and (1,23) as two or one?
aha, indeed it gives me the number of ways "right on the nose" as you english speakers say :)hutchphd said:Try the table described in post #3. This is not difficult.
The most difficult thing is the floor function: ##\lfloor \frac{n}{2} \rfloor##.kent davidge said:aha, indeed it gives me the number of ways "right on the nose" as you english speakers say :)
I am an old guy and I never heard that nomenclature (floor) until maybe a year ago. Did it migrate from a particular computer language?? It is less ambiguous.fresh_42 said:The most difficult thing is the floor function
The phrase "a given integer can be written in how many different ways" refers to the number of unique combinations or arrangements of numbers that can be used to represent a specific integer. This can include different orders, groupings, or operations.
The number of ways an integer can be written can be determined by using mathematical principles such as permutation and combination. It involves analyzing the given integer and identifying the different ways it can be represented using mathematical operations.
Yes, there is a limit to the number of ways an integer can be written. The limit depends on the size of the integer and the mathematical operations that are allowed. As the integer gets larger, the number of possible ways to write it also increases.
No, an integer cannot be written in an infinite number of ways. As mentioned before, there is a limit to the number of ways an integer can be written. Even if the integer is extremely large, there will still be a finite number of ways to represent it.
The order of numbers can greatly affect the number of ways an integer can be written. For example, the numbers 1, 2, and 3 can be arranged in 6 different ways (123, 132, 213, 231, 312, 321), but if the order is changed (e.g. 1, 3, 2), the number of ways will also change. This is why permutation is an important concept in determining the number of ways an integer can be written.