NIMCET 2010 — Mathematics PYQ
NIMCET | Mathematics | 2010How many proper subset of contain the number and ?
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How many proper subset of contain the number and ?
1. Given Set:
Total elements
2. Condition:
Subsets must contain both and .
Fixed elements =
Remaining elements to choose from =
Number of remaining elements =
3. Total Subsets containing 1 and 7:
Total subsets
4. Proper Subsets:
A proper subset cannot be the set itself.
Since the original set contains both and , it is included in the subsets calculated above.
To get proper subsets, we subtract this one case:
Proper subsets
Correct Option:
(b) 31