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Of the members of three athletic teams i...

Of the members of three athletic teams in a certain school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basket ball, 15 play hockey and football, 12 play football and basketball and 8 play all the three games bow many members are there in all?

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To solve the problem, we will use the principle of inclusion-exclusion for three sets. Let's denote the following: - Let \( B \) be the set of members in the basketball team. - Let \( H \) be the set of members in the hockey team. - Let \( F \) be the set of members in the football team. From the problem, we have the following information: ...
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RD SHARMA ENGLISH-SETS-All Questions
  1. in a survey of 500 TV views , it was found that 285 watch cricket , 19...

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  2. Of the members of three athletic teams in a certain school, 21 are in ...

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  3. Prove that : AsubeB ,BsubeCa n dCsubeA A=Cdot

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  4. Using properties of sets, show that for any two sets A a n d B ,(AuuB)...

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  5. For any two sets Aa n dB , prove that (AuuB)-B=A-B (ii) A=(AnnB)=A-B ...

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  6. FOR ANY TWO SETS Aa n dB , show that the following statements are equi...

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  7. If U={2,3,5,7,9} is the universal set and A={3,7},B={2,5,7,9}, then fi...

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  8. If U={2,3,5,7,9} is the universal set and A={2,7},B={2,5,7}, then find...

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  9. Let Aa n dB be two sets. Using properties of sets prove that: (i) AnnB...

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  10. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

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  11. In a group of 800 people, 550 can speak Hindi and 450 can speak Eng...

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  12. Let"U"={1,2,3,4,5,6,7,8,9},A={2,4,6,8}a n dB={2,3,5,7}dot Find: (AuuB)...

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  13. Let"U"={1,2,3,4,5,6,7,8,9},A={2,4,6,8}a n dB={2,3,5,7}dot Find: (AnnB)...

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  14. The collection of vowels in English alphabets. This set contains five ...

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  15. The collection of first five prime natural numbers is  asset containin...

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  16. The collection of all States in the Indian Union is a set.

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  17. The collection of post presidents of the Indian union is a set.

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  18. The collection of cricketers in the world who were out for 99 runs in ...

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  19. What is the difference between a collection and a set? Give reasons to...

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  20. Which of the following collections are sets? Justify your answer: A co...

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