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CBSE Class 12-commerce Answered

State inclusion-exclusion principle. In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak at least one of the two languages. How many people speak only English and not Hindi ? How many people speak English? 10 10
Asked by mounikachitrala342 | 26 Oct, 2023, 07:59: AM
answered-by-expert Expert Answer
Number space of space people space speaking space HIndi equals straight n left parenthesis straight H right parenthesis equals 35
Number space of space people space speaking space English space and space HIndi equals straight n left parenthesis straight E intersection straight H right parenthesis equals 25
Number space of space people space speaking space English space or space HIndi equals straight n left parenthesis straight E union straight H right parenthesis equals 50
Then comma
Number space of space people space speaking space only space English space and space not space Hindi equals straight n left parenthesis straight E union straight H right parenthesis minus straight n left parenthesis straight H right parenthesis equals 50 minus 35 equals 15
Number space of space people space speaking space English equals straight n left parenthesis straight E right parenthesis
Now comma
straight n left parenthesis straight E union straight H right parenthesis equals straight n left parenthesis straight E right parenthesis plus straight n left parenthesis straight H right parenthesis minus straight n left parenthesis straight E intersection straight H right parenthesis
straight n left parenthesis straight E right parenthesis equals straight n left parenthesis straight E union straight H right parenthesis plus straight n left parenthesis straight E intersection straight H right parenthesis minus straight n left parenthesis straight H right parenthesis equals 50 plus 25 minus 35 equals 40
Answered by Rashmi Khot | 26 Oct, 2023, 10:22: AM
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