Q2 of 76 Page 2

If n(A) = 3, n(B) = 4, ten write n (A × A × B).

We know ,n(A×B)=n(A)×n(B)


Similarly, n(A×B×C)=n(A)×n(B)×n(C)


Here, n(A)=3 and n(B)=4


n(A×A×C)=n(A)×n(A)×n(B)


=3×3×4


=36


More from this chapter

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22

Let R be a relation on N x N defined by (a, b) R (c, d) a + d = b + c for all (a, b), (c, d) N x N.

Show that:


i. (a, b) R (a, b) for all (a, b) N x N


ii. (a, b) R (c, d) (c, d) R (a, b) for all (a, b), (c, d) N x N


iii. (a, b) R (c, d) and (c, d) R (e, f) (a, b) R (e, f) for all (a, b), (c, d), (e, f) N × N

 1

If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write (A − C) × (B − C).

 3

If R is a relation defined on the set Z of integers by the rule , then write domain of R.

4

If R = {(x, y) : x, yZ, x2 + y2≤ 4} is a relation defined on the set Z of integers, then write domain of R.