Chapter 4: Combinatorics and Mathematical Induction - Online Test

Q1. The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is
Answer : Option C
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Q2. The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines.
Answer : Option D
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Q3. Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is
Answer : Option B
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Q4. Number of sides of a polygon having 44 diagonals is
Answer : Option C
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Q5. If 10 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then the total number of points of intersection are
Answer : Option A
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Q6. In a plane there are 10 points are there out of which 4 points are collinear, then the number of triangles formed is
Answer : Option D
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Q7. In 2nC3 :n C3 = 11 : 1 then n is
Answer : Option B
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Q8. (n-1)Cr +(n-1) C(r-1) is
Answer : Option C
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Q9. The number of ways of choosing 5 cards out of a deck of 52 cards which include at least one king is
Answer : Option D
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Q10. The number of rectangles that a chessboard has……….
Answer : Option C
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