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Questions  >>  CBSE XII  >>  Math  >>  Relations and Functions
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Let A={1,2,3,....n} and B={a,b}. Then the number of surjection from A into B is \begin{array}{1 1}(A)\quad"p_2 \qquad & (B)\quad 2"-2\\ (C)\quad 2^n-1 \qquad & (D)\quad none\;of\;these\end{array}

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A)
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  • The number of surjections from set A having n elements to set B having 2 elements is $2^n-2$
$A=\{1,2,3,......n\} \qquad B=\{a,b\}$
 
A has n elements B has 2 elements
 
number of surjection is $2^n-2$
 
'B' option is correct

 

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