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Model Paper 6 — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSModel Paper 61 Mark
MCQ
Let A and B be two sets containing four and two elements respectively.Then,the number of subsets of A×B,each having at least three elements is:
  • A
    256
  • B
    219
  • C
    510
  • D
    275
✓

Answer

(b) 219 
Explanation: $n(A)=4, n(B)=2$
$n(A \times B)=8$
$\therefore$ Number of subsets having at least 3 elements
$=2^8-\left(1+{ }^8 C_1+{ }^8 C_2\right)=219$

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