Question

29. If A = {1, 2, 3, 4, 5) and B = {6, 7, 8), then cardinal number of AXB is:
(a) 15
(b) 5
(c) 3
(d) 8


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Answer 1

Answer:

(A×B)={(1,7),(1,6),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8)(4,6)(4,7),(4,8),(5,6),(5,7),(5,8)

Step-by-step explanation:

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Answer 2

Answer:

(a) 15

Step-by-step explanation:

Given sets,

A = {1, 2, 3, 4, 5},

B = {6, 7, 8},

Since, cardinality of a set is the number of elements in the set.

Also, if the cardinality of a set X is m and cardinality of set Y is n,

Then the cardinality of set X × Y = m × n

Here, cardinality of A = 5,

cardinality of B = 3

Hence, cardinality of A × B = 5 × 3 = 15

i.e. OPTION (a) is correct.

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