Question

Find the cardinal number of the following sets: (7mar
İ.
A={}
ii.
B= (0)
C=(3, 7, 11, 15)
D- (3, 3, 3, 4, 4, 5)
E= (x:x is a letter in the word 'STATISTICS'}
F= (x: x is an odd whole number less than 12}
G= (x:x is a factor of 12)

Answer 1

The cardinal number of the given sets are:

• Set A = 0
• Set B = 1
• Set C = 4
• Set D = 3
• Set E = 5
• Set F = 6
• Set G = 6

How to determine the cardinal number of the sets?

As a general rule, the cardinal number of a set is the number of distinct elements in the set

Using the above definition the cardinal number of the given sets are:

• Set A = 0 because it is an empty set
• Set B = 1
• Set C = 4
• Set D = 3 -- because it contains 3 distinct numbers i.e 3, 4 and 5
• Set E = 5-- because it contains 5 distinct letters i.e S, T, A, I and C
• Set F = 6
• Set G = 6

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