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
likes879 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.
Miles
4.9114 Answers
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: "The exponential function y = 3^(x-2) is graphed. Determine the value of y when x = 4.
+
Math question: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, what can we conclude about the triangles?
+
Triangle ABC has side lengths AB = 5cm, BC = 12cm, and AC = 13cm. Find the measure of angle ABC in degrees.
+
New questions in Mathematics