Let f be a total or partial function f:S -> T where S = {d,i,s,c,r,e,t} and T = {1,2,3,4,5,6,7} How many partial functions f:S -> T are there if f(d) and f(I) are not even? How many partial functions are if f(d) exists in {2,3,4,5} and f(I) is even? How many injective functions f: S -> T are there if f(d), f(I), and f(s) are all elements of {1,3,4}?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f be a total or partial function f:S -> T where S = {d,i,s,c,r,e,t} and T = {1,2,3,4,5,6,7}

  1. How many partial functions f:S -> T are there if f(d) and f(I) are not even?
  2. How many partial functions are if f(d) exists in {2,3,4,5} and f(I) is even?
  3. How many injective functions f: S -> T are there if f(d), f(I), and f(s) are all elements of {1,3,4}?
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