If n(S) = 10 and A ={ (x,y) / x,y belongs to S ,x and y are not equal } then the number of elements in the set A

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If n(S) = 10 and A ={ (x,y) / x,y belongs to S ,x and y are not equal } then the number of elements in the set A

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Soosai nayakams 15th May, 2020

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ginnisachdeva02_9364270 Student Expert 16th May, 2020

Hey!

Means S set has 10 elements.

According to me there are 10*9 = 90 elements in the SET A,because if the tuple of the element is such that x != y then you can put the 10 elements at the first place and remaining 9 elements on the second place in the tuple.

By the basic principle of counting / permutation it is nothing but 10*9 = 90 elements possible in the SET A.

Hope it helped to clear your delimma.

Thank you

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