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Sagot :
A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object. The total number of bags that have both zips and buttons is 49.
What is a set?
A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
Given that A company makes 140 bags. 21 of the bags have buttons but no zips. 25 of the bags have zips but no buttons. 45 of the bags have neither zips nor buttons.
Now, we can write the following things about the given condition,
Total number of bags, s = 140
Bags with Only zips, only Z = 25
Bags with only buttons, only B = 21
Bags with neither or them, Z'∩B' = 45
Now, the total number of bags that have both of them is,
Z∩B = s - only Z - only B - Z'∩B'
= 140 - 25 - 21 - 45
= 49
Hence, the total number of bags that have both zips and buttons is 49.
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