The largest 2-digit number is 99. How many 2-digit numbers must be in a set in order to apply the pigeonhole principle to conclude that there are two distinct subsets of the numbers whose elements sum to the same value

The solution can be defined as follows:

Step-by-step explanation:

There are 210 = 1,024 sub-sets of 10 entries, however, the number of enters between the lower and upper limits total of 10 different submissions between 1 and 100 can be as low only as 901 (= 955 - 55 + 1). There has to be a minimum level of at least 1 subset with much more subgroups than possible, which equals at least two sets. Call for two main sub, S' and T' equivalent.

Let

when

Then are disjoint

4.

step-by-step explanation:

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