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Application of Inclusion and Exclusion Principle in Data Analysis of Provincial Examination in 2022
First, the method introduction:

The inclusion and exclusion principles of two sets: A+B-AB = total- are not satisfied.

Second, the application conditions:

1. Given four of the inclusions of two sets, we can directly apply A+B-AB= total to find the fifth quantity-neither of them is satisfied.

2. Given the number of multiple parts in a material, finding out which two groups are repeated depends on which two parts add up to more than the total number.

Third, the detailed explanation of the example:

By the end of 20 19, there were 9,775 rehabilitation institutions for the disabled in China, 739 more than the end of 20 18. In 20 19, 10430000 disabled children and certified disabled people received basic rehabilitation services, of which 0? 6-year-old disabled children 18 10000.

By the end of 20 19, there were 234/kloc-0 comprehensive service facilities for the disabled at all levels in China, with a total construction scale of 5.845 million square meters and a total investment of 183438+0 billion yuan; 1006 rehabilitation facilities for the disabled at all levels have been completed, with a total construction scale of 4142,000 square meters and a total investment of1322 million yuan.

Example 1 If there are 20% more rehabilitation institutions for the disabled who provide rehabilitation services for visual disabilities than those who do not, how many rehabilitation institutions for the disabled in China will not provide either of the above two rehabilitation services by the end of 20 19?

A. Less than 7300

B.7300? Between 7600 families

C.7600? 7,900 families

D.7900 plus

Answer b

Through the analysis of the stem, we can find that the materials provide institutions that provide rehabilitation services for visual disabilities, institutions that provide rehabilitation services for hearing and speech disabilities, and institutions that provide these two services. The description of whether to provide the above two rehabilitation services is equivalent to giving a set and b set, both of which are satisfied, but both of which are not satisfied, that is, the inclusion and exclusion of the two sets. According to? Among the rehabilitation institutions for the disabled who provide rehabilitation services for visual disabilities, there are 20% more institutions that provide rehabilitation services for hearing and speech disabilities than those that do not? If it is not provided (1+1.2) =1430, then hearing is not provided in the rehabilitation service for the visually impaired, and both are provided =650? 1.2=780 (home). Substituting the inclusion and exclusion formulas of two sets to get 1669+ 1430? 780=9775? Both are not satisfied, and the solution is that both are not satisfied =7456 (home). So choose option B.

In the middle and late February of 20 19, the statistics bureau of a city randomly selected 2000 residents aged 18-65 who lived in the city for more than half a year, and investigated their consumption during the Spring Festival of 20 19. The survey results show that compared with last year's Spring Festival, 28.3% of the respondents' consumption expenditure increased, and 58% of the respondents' consumption expenditure was basically the same.

220 19 during the spring festival? Catering consumption? Among the residents interviewed, there must be someone:

A. participation in education and training

B. Go on a trip

C. Buy healthy products

D. Buy digital products and smart home appliances

Answer a

Analysis shows that only A+B > exists in the two-set incompatibility principle; 100% is enough. Someone in a must go to b, do you want it? Catering consumption? Some interviewed residents have to go to another consumption project, so the ratio of the two is added up >; 100% will do. ? Catering consumption? Respondents accounted for 70.2%, and only two projects accounted for more than 100%. Participate in education and training? (33.2%)。

Therefore, choose option a.