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(Solved): Counting injective functions For = {1,2,3,4,5} and = {2,4,6,8,10,12,14}, how many function ...


Counting injective functions

For ???? = {1,2,3,4,5} and ???? = {2,4,6,8,10,12,14}, how many functions ???? ? ???? ? ???? are there

1. in total?

2. which are injective?

3. with ????(1) = 14 and ????(2) = 2?

4. with ????(3) = 6 and ????(4) ? 8?



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. We are given that f is a function from set A to set B where A={1,2,3,4,5}B={2,4,6,8,10,12,14} Therefore, we have cardinalities Number of elements in
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