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Let $A = {a, b, c}$ and $B = {1, 2, 3, 4}$. Then the number of elements in the set $C = {f : A \to B \mid 2 \in f(A)$ and $f$ is not one-one$}$ is ______.
Type: Numerical
The set $B$ can be ${2}$, ${1,2}$, ${2,3}$, ${2,4}$
Total number of functions $= 1 + (2^3 - 2) \times 3 = 19$
BETA
