Permutations and Combinations
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LetS = { 1 , 2 , 3 , 4 , 5 , 6 } andX be the set of all relationsR fromS to S that satisfy both the following properties:
i.R has exactly 6 elements.
ii. For each( a , b ) ∈ R , we have| a − b | ≥ 2 .
LetY = { R ∈ X : The range of R has exactly one element} and
Z = { R ∈ X : R is a function from S toS } .
Letn ( A ) denote the number of elements in a SetA .
Let
i.
ii. For each
Let
Let
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