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(Solved): TRANSCRIPT: 5. Let W be a finite set with n elements. How many pairs (X, Y ) are there such that X ...
TRANSCRIPT:
5. Let W be a finite set with n elements. How many pairs (X, Y )
are there such that X ? W , Y ? W , and X ? Y ? Provide an
expression to compute the answer that shows your reasoning. You
don’t need to express your answer in its most reduced form.
Please show work! Thanks
5. Let W be a finite set with n elements. How many pairs (X, Y) are there such that X CW, Y CW, and X CY? Provide an expression to compute the answer that shows your reasoning. You don't need to express your answer in its most reduced form.
Expert Answer
Solution :- There are n different ways to pick an element from a set, so there are n! or C(n)(n-1) pairs of elements. As for the number of different ways to pick an element from a larger set, it is given by C(n) or simply, the factorial. For example,