Junior Cycle Mathematics Sets: Find $| (A \cup B \cup C)'|$, th

Question

Find $| (A \cup B \cup C)'|$, the number of elements in the complement of the set $A \cup B \cup C$.

The universal set $U = \{2, 3, 4, 5, \ldots, 30\}$, with:
- $A = \{	ext{multiples of } 2\}$
- $B = \{	ext{multiples of } 3\}$
- $C = \{	ext{multiples of } 5\}$

The elements in the set $(A \cup B \cup C)$ will be the whole numbers between 2 and 30 inclusive which are not multiples of 2, 3 or 5. These numbers are: 7, 11, 13, 17, 19, 23, 29. Thus, the number of elements $|(A \cup B \cup C)'| = 7$.

Find $| (A \cup B \cup C)'|$, the number of elements in the complement of the set $A \cup B \cup C$ - Junior Cycle Mathematics - Question 2 - 2014

Worked Solution & Example Answer:Find $| (A \cup B \cup C)'|$, the number of elements in the complement of the set $A \cup B \cup C$ - Junior Cycle Mathematics - Question 2 - 2014

How many divisors does each of the numbers in $(A \cup B \cup C)$ have?

What name is given to numbers that have exactly this many divisors?

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