Show that if there are 101 people of different heights standing in a line, it is possible to find 11 people in the order they are standing in the line with heights that are either increasing or decreasing.

Step-by-step explanation:

Given that there are 101 people of different heights standing in a line

Consider the number 101

It is of the form

By application of Ramsey theory, any sequence consisting of distinct numbers contains a subsequence of length n+1 that is either decreasing or increasing.

Here we have 101 with n =10

Since 101 people are having different heights, we must have 10+1 heights i.e. heights of 11 people either increasing or decreasing.

2 2/3 hours duhh silly

step-by-step explanation:

1260=3*6*7*10=3^2*2^2*7*5 perfect cude = 3^3*2^

step-by-step explanation: