3. If set A has 3 elements then number of elements in A X A X A are __________a) 9b) 27c) 6d) 19
Question
- If set A has 3 elements then number of elements in A X A X A are __________a) 9b) 27c) 6d) 19
Solution 1
The number of elements in A X A X A (also known as the Cartesian product of A with itself three times) is equal to the number of elements in A raised to the power of 3.
Since set A has 3 elements, the number of elements in A X A X A is 3^3 = 27.
So, the answer is b) 27.
Solution 2
The number of elements in A X A X A (also known as the Cartesian product of A with itself three times) is equal to the number of elements in A raised to the power of 3.
Step 1: Identify the number of elements in set A. In this case, set A has 3 elements.
Step 2: Since we are finding the Cartesian product of A with itself three times, we raise the number of elements in A to the power of 3.
Step 3: Calculate 3^3 = 27.
So, the number of elements in A X A X A is 27. Therefore, the correct answer is b) 27.
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