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If odds in favour of an event be 2 : 3, find the probability of occurrence of this event.
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Solve the following problem.
Obtain a derivative of the following function: x sin x
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Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are ______.
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If A and B are two finite sets, then n(A) + n(B) is equal to ______.
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If A is a finite set containing n element, then number of subsets of A is ______.
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Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively ______.
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If A and B are finite sets such that A ⊂ B, then n (A ∪ B) = ______.
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Which of the following is not correct?
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Find the linear inequalities for which the shaded region in the given figure is the solution set.
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State which of the following statement is True or False.
If x < y and b < 0, then `x/"b" < y/"b"`
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State which of the following statement is True or False.
If xy > 0, then x > 0 and y < 0
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State which of the following statement is True or False.
If xy > 0, then x < 0 and y < 0
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Solution set of x + y ≥ 0 is
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A student has to answer 10 questions, choosing atleast 4 from each of Parts A and B. If there are 6 questions in Part A and 7 in Part B, in how many ways can the student choose 10 questions?
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In a small village, there are 87 families, of which 52 families have atmost 2 children. In a rural development programme 20 families are to be chosen for assistance, of which atleast 18 families must have at most 2 children. In how many ways can the choice be made?
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A boy has 3 library tickets and 8 books of his interest in the library. Of these 8, he does not want to borrow Mathematics Part II, unless Mathematics Part I is also borrowed. In how many ways can he choose the three books to be borrowed?
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In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?
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