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If set B = 1,2 write down the number of subsets in set B.

Mathematics

ScanSolve AI Answer

Answer

4

Step-by-step solution

3 steps
  1. Identify the given set and its number of elements.

    The given set is B={1,2}B = \{1, 2\}.
    The number of elements in set BB, denoted as n(B)n(B), is 2.

  2. Apply the formula for the number of subsets.

    The number of subsets of a set with nn elements is given by the formula 2n2^n.
    In this case, n=2n = 2.

  3. Calculate the number of subsets.

    Number of subsets=2n(B)=22\text{Number of subsets} = 2^{n(B)} = 2^2 22=2×2=42^2 = 2 \times 2 = 4

    The set BB has 4 subsets.

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