In a survey of 105105 resorts, it was found that 3333 5858 4242 1616 99 1919 77
ID: 3030642 • Letter: I
Question
In a survey of
105105
resorts, it was found that
3333
5858
4242
1616
99
1919
77
Complete parts a) through
e).
a) How many of the resorts surveyed had only a spa?
nothing
(Type a whole number.)
b) How many of the resorts surveyed had exactly one of these features?
nothing
(Type a whole number.)
c) How many of the resorts surveyed had at least one of these features?
nothing
(Type a whole number.)
d) How many of the resorts surveyed had exactly two of these features?
nothing
(Type a whole number.)
e) How many of the resorts surveyed had none of these features?
nothing
(Type a whole number.)
3333
had a spa.5858
had a fitness center.4242
had a children's club.1616
had a spa and a fitness center.99
had a spa and children's club.1919
had a fitness center and children's club.77
had all three features.Explanation / Answer
a) only spa = spa - spa and fitness centre - spa and children's club + all three
= 33 - 16 - 9 + 7
= 15
b) only fitness centre = fitness centre - fitness centre and spa - fitness centre and children's club + all three
= 58 - 16 - 19 + 7
= 30
only children's club = children's club - children's club and spa - children's club and fitness centre + alll three
= 42 - 9 - 19 + 7
= 21
So, exactly one of the feature = only spa + only fitness centre + only children's club
= 15 + 30 + 21
= 66 (ans)
c) at least + fitness centre + children's club - spa and fitness centre - apa and children's club - fitness centre and children's club + all three
= 33 + 58 + 42 - 16 - 9 -19 + 7
= 96
d) exactly two of the feature = only spa and fitness centre + only spa and children's club + only fitness centre and children's club
= (spa and fitness centre - all three) + (apa and children's club - all three) + (fitness centre and children's club - all three)
= 16 - 7 + 9 - 7 + 19 - 7
= 23
e) none of these feature = 105 - 96
= 9
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