Answer:
1. 1024 functions
2. 59049 functions
3. 1048576 functions
4. 9765625 functions
Step-by-step explanation:
Denote two events with A and B, product rule states that if event A can occur in x number of ways and event B can occur in y number of ways, the two events (A and B) can occur in sequence in
x * y ways
i.e. xy ways
If a set has a range of n elements, there are n possible ways in each element
First element: n ways
Second element: n ways
Third element: n ways
Fourth elements; n ways
Fifth element: n ways
Sixth element: n ways
Seventh element: n ways
Eight elements; n ways
Ninth element: n ways
Tenth element: n ways
As stated above in the product rule, we have n*n*n*n*n*n*n*n*n*n*n = n^10
a. n = 2 elements
Number of Possible Functions = 2^10 = 1,024 functions
b. n = 3 elements
Number of Possible Functions = 3^10 = 59,049 functions
c. n = 4 elements
Number of Possible Functions = 4^10 = 1,048,576 functions
d. n = 5 elements
Number of Possible Functions = 5^10 = 9,765,625 functions
