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Let A= sets of all letter in the word MA...

Let A= sets of all letter in the word MATHEMATICS
and B= sets of all letters in the word STATISTICS.
Find `A cap B`.

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AI Generated Solution

To solve the problem, we need to find the intersection of two sets A and B, where: - Set A consists of all unique letters in the word "MATHEMATICS". - Set B consists of all unique letters in the word "STATISTICS". ### Step 1: Identify the letters in Set A First, we will list all the letters in the word "MATHEMATICS" and identify the unique letters. ...
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AAKASH INSTITUTE ENGLISH-SETS -EXAMPLE
  1. Which of the following are examples of the null set? (I) A={x: x in ...

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  2. State which of the following sets are finite sets or infinite set. In ...

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  3. Which of the following parir of sets are equal? Give reasons. (i) A=...

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  4. Consider the sets phi, A={1,2}, B={1,6,7}, C={1,2,3,4,5}. Insert the s...

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  5. Write the following sets as intervals (i) {x:x in R, -2 lt x lt 15} ...

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  6. Write the following intervals in set builder form. (i) [2,7] (ii) ...

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  7. Let A={2,4,8,16,32) and B={4,16} Show that A cup B=A

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  8. Let X= the sets of all letters in the word "DELHI" and Y=the sets of a...

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  9. Let A= sets of all letter in the word MATHEMATICS and B= sets of all...

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  10. (i) If A={x:x is a multiple of 2, x lt 15} and B={x:x in N} then find ...

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  11. Write down the complement of given sets: (i) A={x:x is an even integ...

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  12. If universal set U={0,1,2,3,4,5,6,7}, A={2,3,7}, B={4,6} and C={0,2,4,...

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  13. (i) Draw Venn diagram to represent A cap (B cup C) (ii) If A={1,2,3,4...

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  14. Prove the distributive law and De Morgan's law. (i) A cap (B cup C)=...

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  15. If X any Y are two sets such that X cup Y has 40 element X has 25 elem...

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  16. If A and B are two sets such that n(A)=12, n(B)=19 and (A cup B)=26 th...

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  17. If n(U)=50, n(A)=24, and n(B)= 30 where U is the universal set, then f...

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  18. In a class of 40 students, 24 like to play guitar and 25 like to play ...

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  19. In Class XI of a certain school, there are 30 students in a Mathematic...

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  20. In an university, out of 120 students, 15 opted mathematics only, 16 o...

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