How many like-term pairs are present in the list $\{2xy,\ 3x^{2},\ -5xy,\ 7x^{2},\ 4y^{2}\}$?

How many like-term pairs are present in the list $\{2xy,\ 3x^{2},\ -5xy,\ 7x^{2},\ 4y^{2}\}$?
  1. $1$
  2. $2$
  3. $3$
  4. $0$

Solution

Pairs with same variables and powers: $\{2xy,-5xy\}$ and $\{3x^{2}, 7x^{2}\}$ - that is $2$ pairs.

Asked in: IMO

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