Let W denote the words in the English dictionary. Define the relation R by : R = (x, y) W W | the words x and y have at least one letter in common . Then R is

JEE Main 2006 Mathematics question

Let W denote the words in the English dictionary. Define the relation R by : | the words x and y have at least one letter in common . Then R is

Answer: (2)

Every word shares a letter with itself (reflexive); if x shares a letter with y, then y shares it with x (symmetric).

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Question ID VK-038868