If n(X) denotes the number of elements of a set X, verify the following results, which are

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If n(X) denotes the number of elements of a set X, verify the following results, which are used for checking the results of opinion polls:

(a) n(A U BUC) = n(A) + n(B) + n(C) - n(AB) - n((AUB) nC) (b) n((AUB) nC) = n(ANC) + n(BC) - n(An Bn C) (c)

Here the sets A, B and C belong to the same universal set U.

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