CUET Preparation Today
If $A = \{1, 2, 3, \dots, n\}$ and $B = \{a, b\}$. Then, the number of surjections from $A$ into $B$ is |
$^nP_2$ $2^n - 2$ $2^n - 1$ None of these |
$2^n - 2$ |
The correct answer is Option (2) → $2^n - 2$ ## Given that, $A = \{1, 2, 3, \dots, n\}$ and $B = \{a, b\}$. Total number of functions from $A$ to $B = 2^n$ and number of elements in set $B = 2$ Then, total number of onto (surjections) functions from $A$ into $B = 2^n - 2$ |
