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
4.9116 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)
What is the sine of angle A when the opposite side is 10 and the hypotenuse is 20?
+
What is the speed of a car that travels 240 miles in 4 hours?
+
Graph the logarithmic function y = log(x+1) and find the x-intercept(s).
+
New questions in Mathematics