I am unaware of any usage for the words set at, except for example The clock was set at one thirty.
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It depends on the number of letters in the set - which is not specified. If there are n different letters in the set, the answer is n*(n-1)*(n-2)*(n-3)*(n-4)
If I'm correct in interpreting what you're asking, the intersection set is the set between two sets that contains the common elements (denoted by what looks almost like a large lowercase n). In other words, if: set A = {1,2,3,7,8,9} and set B = {2,3,6,8,9,10) then the intersection set (A n B) = {2,3,8,9}. Just take what the two sets have in common, and put them together (don't repeat the digits, just what's in common).
Not applicable
Set A is a finite set if n(A) =0 (that is, A is the empty set) or n(A) is a natural number. A set whose cardinality is not 0 or a natural number is called an infinite set.
N, N+1, N+2, N+3, etc.