Q55 / 160 · AP EAMCET 2024 (19 May Shift 2) · Mathematics

If set A contains 8 elements then number of subsets of $A$ which contain at least 6 elements is

A
28
B
73
Correct answer
C
37
D
82

Solution

Given $n(A)=8$ Now, the number of subsets of $A$ which contain atleast 6 elements $={ }^8 C_6+{ }^8 C_7+{ }^8 C_8=37$

Hence, the correct answer is option: 'C'.

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