prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that t
Question
Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
176
likes
879 views
Answer to a math question Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
sum of natural numbers from 1 to 240
=\frac{240\times241}{2}=28920
number of columns = 16
for equality, each slumn should have the sum as 28920/16 = 1807.5 which is a fractional number
we are only putting integers, and hence sum of each column has to be an integer and Not a fraction.
Hence the given statement is proved
Frequently asked questions (FAQs)
Question: Find the derivative of f(x) = sin(x) + 2x^3 - ln(x), where x > 0.
+
What is the equation of an exponential function that has a base of 2 and passes through the points (0,1) and (3,8)?
+
Question: What is the measure, in degrees, of an angle formed by the angle bisector that divides a 75° angle into two congruent angles?