The cardinal number of set A, denoted by n(A), is the number of elements in set A. Thus, in A = {1,3,5,7), n(A) = 4 because set A contains 4 elements. Examples: Find the cardinality of the following sets. 1. Set D is the set of vowels in English alphabet. Solution: D = {a,e,i,o,u} Answer: n(D) 5 2. Set R is the set of letters in the word "difficulty". Solution: R = {d.i.f.cu,l,t,y} Answer: n(R) = 8 3. Set M is the set of odd numbers between 1 and 3. Solution: M = { } or M = 0 Answer: n(M) = 0 Set E is the set of letters in the word "survivor". Solution: E = {s,u,r,v,i,} Answer: n(B) = 6 5. Set K is the set of counting numbers less than 5. Solution: K = {1,2,3,4} Answer: n(K) = 4




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