Answer
a) $2^{10}$=1024.
b) $3^{10}$=59049.
c) $4^{10}$=1048576.
d) $5^{10}$=9765625.
Work Step by Step
Total number of possible functions from a set of m elements to a set of n elements is $n^{m}$. Given m=10.
a) Here n=2. Number of all possible different functions are $2^{10}$=1024.
b) Here n=3. Number of all possible different functions are $3^{10}$=59049.
c) Here n=4. Number of all possible different functions are $4^{10}$=1048576.
d) Here n=2. Number of all possible different functions are $5^{10}$=9765625.
