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If universal set, U={x:x is a letter in...

If universal set, U={x:x is a letter in the phrase THE MAD DONKEY} A={x:x is a letter of word MONKEY} B={x:x is letter of word ANT} C={x:x is a letter of word THAT} Find the following (i) `B cap A` (ii) `A cap C`' (iii)`(B cup C)`

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To solve the problem, we will follow these steps: ### Step 1: Identify the Universal Set (U) The universal set \( U \) is defined as the set of letters in the phrase "THE MAD DONKEY". - **Letters in "THE MAD DONKEY"**: - T, H, E, M, A, D, D, O, N, K, E, Y - **Unique Letters**: ...
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AAKASH INSTITUTE ENGLISH-SETS -Try yourself
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  2. Write down the complement of given set A (i) N is universal set, A={...

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  3. If universal set U={1,2,3,4,5,6,7,8,9}, A={1,5,6},B={4,8,9},C={3,2,6} ...

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  4. If universal set, U={x:x is a letter in the phrase THE MAD DONKEY} A...

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  5. Draw the venn diagram to represent (i) A cap (B-A)' (ii) A cup B(B ...

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  6. If U={1,2,3……10}, A={1,5,6}, B={3,4,5}, C={6,5,3,10}, then represent t...

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  7. Prove A cup (B cap C)=(A cup B) cap(A cup C)

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  8. Prove (A cap B)'=(A' cup B')

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  9. If X and Y are two sets such that X cup Y has 50 elements, X has 24 el...

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  10. If A and B are two sets such that A cup B has 64 elements, A has 40 el...

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  11. If A and B are two sets such that n(A)=30, n(B)=26 and n(A cup B)=50,...

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  12. If A and B are two sets such that n(A)=24, n(B)=13 and n(A cup B) =32 ...

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  13. If n(U)=60, n(A)=26 and n(B)=36 where U is the universal set then find...

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  14. If n(U)=1200, n(A)=900 and n(B)=700 where U is the universal set then ...

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  15. In a class of 30 students, 13 like to eat cake and 26 like to eat ice ...

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  16. In a class of 195 students, 115 like football, 130 like basket ball. I...

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  17. In a group of students, there are 24 opting for photography and 26 opt...

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  18. In an adventure trip, there are 50 people interested for camel riding ...

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  19. In an university, out of 100 students, 16 opted mathematics only, 24 o...

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  20. In a group of 200 students, 20 played cricket only, 36 plated tennis o...

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