CBSEClass 11MathsPermutations and Combinations
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1. There are 12 points in a plane out of which 5 are collinear. The number of triangles formed by the points as vertices is

2. The number of combination of n distinct objects taken r at a time be x is given by

3. Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is

4. If repetition of the digits is allowed, then the number of even natural numbers having three digits is

5. The number of ways in which 8 distinct toys can be distributed among 5 children is

6. The value of P(n, n - 1) is

7. In how many ways can 4 different balls be distributed among 5 different boxes when any box can have any number of balls?

8. The number of ways of painting the faces of a cube with six different colors is

9. Out of 5 apples, 10 mangoes and 13 oranges, any 15 fruits are to be distributed among 2 persons. Then the total number of ways of distribution is

10. 6 men and 4 women are to be seated in a row so that no two women sit together. The number of ways they can be seated is

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