Class 12 Relations And Functions · Mcq Single Correct1 Markscounting_functions
Class 12 Maths · Relations And Functions · Mcq Single Correct #46
The number of surjections from \(A=\{1,2,\ldots,n\}\), \(n\ge2\), onto \(B=\{a,b\}\) is
✅ Step-by-Step Solution
Final Answer: Option (B): \(2^n-2\)
- There are \(2^n\) functions, of which two are constant and not onto. Thus there are \(2^n-2\) surjections, printed as option b.
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