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Q.

If n(A) = 5, then the number of reflexive relations in A is k. the units digit of ‘k’ is ____

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answer is 6.

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Detailed Solution

Given a set A with n(A) = 5 elements, the number of reflexive relations on A is calculated using the formula:

Formula: 2n(n-1)

For n = 5:

Calculation:

  • 25(5-1) = 220
  • 220 = 1,048,576

The units digit of 1,048,576 is 6.

Therefore, the units digit of k is 6.

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