Traditional Culture Encyclopedia - Tourist attractions - A tour group of 50 people will visit three scenic spots, A, B and C, and each person will go to at least one place. How many people will visit at least?
A tour group of 50 people will visit three scenic spots, A, B and C, and each person will go to at least one place. How many people will visit at least?
This is an application problem of pigeon hole principle, so I'll think about it in detail.
The method is as follows:
There are seven ways to visit A, B and C at will.
: 1, only go to one place; 2. only go to b; Three, go.
c; 4. Go to Party A and Party B; 5, to a, C.
Two places; 6 go to b and c; 7. For A, B,
Third place.
Imagine seven swimming styles as seven drawers and 50 people as
Elements, in seven drawers, 50 ÷ 7 = 7 …
... 1, so at least seven people are playing in the same place.
Same.
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