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  • Can someone help me with this, Two finite sets have m and n elements. The total number subsets of first set is 56 more than second set, find m and n.

Two finite sets have m and n elements. The total number  subsets of first set is 56 more than second set, find m and n.

  • Option 1)

    7,6

  • Option 2)

    6,3

  • Option 3)

    5,1

  • Option 4)

    8,7

 

Answers (1)

best_answer

As we learned 

 

Number of sub set of a set -

If a set has n elements, then it has 2n sub set.

-

 

 2^{m}-2^{n}=56  Thus m =6 and n = 3

i.e 64-8=56

 


Option 1)

7,6

Option 2)

6,3

Option 3)

5,1

Option 4)

8,7

Posted by

gaurav

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