Question

Fie A={1,2,3,....,50}. Determinati numarul submultimilor B ale lui A, stiind ca {1,2,3,...,46} inclus in B

Answer 1

A={1,2,3,...,50}

B⊂A

{1,2,3,…,46} ⊂ B ⊂ {1,2,3,....,50}

reunim {1,2,3,….46} cu fiecare submultime a multimii {47, 48, 49, 50}

sunt 4 elemente => multimea {47, 48, 49, 50}  are  2^4=16  submultimi

=> numarul submultimilor B ale lui A = numarul submultimilor multimii {47, 48, 49, 50} =16

R: 16  submultimi