If A and B are two sets having 10 and 15 elements respectively. 8 elements are common in A and B. Number of relations which can be defined from A to B is

# If A and B are two sets having 10 and 15 elements respectively. 8 elements are common in A and B. Number of relations which can be defined from A to B is

1. A

${2}^{17}$

2. B

${2}^{25}$

3. C

${2}^{150}$

4. D

${2}^{80}$

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### Solution:

Number of elements in A x B is 150.

Number of relations from A to B = ${2}^{150}$

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