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: What is the mode of the following dataset? 3, 5, 7, 5, 9, 5
+
Math question: Find the x-coordinate of the vertical asymptote of the rational function f(x) = 1/x.
+
Math question: Factor the expression 4x² + 8x - 12 using the distributive property.
+
New questions in Mathematics