Answer: D) 63
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Work Shown:
The notation B U C means "set B or set C". The U refers to set union. A set union is where you combine two sets and toss out any duplicates. In terms of a venn diagram, we will add up any number that is either in set B, set C, or both sets at the same time.
So we just add up the numbers: {6, 19, 5, 8, 3, 22} to get
6+19+5+8+3+22 = 63
There are 63 items in either set B, set C or both.
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Alternative route:
n(B) = number of items in set B
n(B) = 6+19+5+8 ... add up the numbers in circle B
n(B) = 38
n(C) = number of items in set C
n(C) = 3+5+8+22
n(C) = 38
n(B and C) = number of items in both set B and set C
n(B and C) = 5+8
n(B and C) = 13
n(B U C) = n(B) + n(C) - n(B and C)
n(B U C) = 38 + 38 - 13
n(B U C) = 63
