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  • Question 1
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    How many chords can be drawn through 10 points on a circle?

  • Question 2
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    In a room there are 2 green chairs, 3 yellow chairs and 4 blue chairs. In how many ways can Raj choose 3 chairs so that at least one yellow chair is included? 

  • Question 3
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    In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 courses are compulsory for every student.

  • Question 4
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    C(20,r) = C(20, r + 2) What is the value of C(r,6) ?

  • Question 5
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    A group consists of 4 girls and 7 boys. in how many ways a team of 5 members be selected consisting of 2 girls and 3 boys.

  • Question 6
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    In how many ways can an examinee choose 5 questions out of 8 in a paper of Physics?

  • Question 7
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    How many triangles can be formed by joining four points on a circle?

  • Question 8
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    In how many ways can one select a cricket team of eleven from 13 players in which only 5 players can bowl. If each cricket team of 11 must include at least 4 bowlers.

  • Question 9
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    A committee consists of 5 students 3 girls and 2 boys. If the team is to be formed out of 7 boys and 5 girls, then how many ways this selection can be made?

  • Question 10
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    Find the number of diagonals of an n-sided polygon.

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