S = {SPADE, HEART, CLUB, DIAMOND, JOKER}, C = {B, R}. (a) T = S ∪ (S − C). How many non-empty binary relations can be fo

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S = {SPADE, HEART, CLUB, DIAMOND, JOKER}, C = {B, R}. (a) T = S ∪ (S − C). How many non-empty binary relations can be fo

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S = {SPADE, HEART, CLUB, DIAMOND, JOKER}, C = {B, R}.
(a) T = S ∪ (S − C). How many non-empty binary relations can be
formed on T?
(b) Construct an onto function from S to C.
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