Find `5C_2`

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If A={1,2,3,4}, B={2,3,4,5},C={1,3,4,5,6,7}. Find A-C and hence verify that, A-(BcapC)=(A-B) cup(A-C)

Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 } . Find (A ∪ C)′

Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 } . Find (B – C)′

Two circles C_1 and C_2 intersect in such a way that their common chord is of maximum length. The center of C_1 is (1, 2) and its radius is 3 units. The radius of C_2 is 5 units. If the slope of the common chord is 3/4, then find the center of C_2dot

Evaluate .^5C_2

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CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. A is a set containing n different elements. A subset PofA is chosen. T...

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  2. Numbers greater than 1000 but not greater than 4000 which can be fo...

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  3. Find 5C2

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  4. The number less than 1000 that can be formed using the digits 0, 1,...

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  5. A variable name in certain computer language must be either an alph...

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  6. The number of 5 digits numbers that contain 7 exactly once is

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  7. The total number of flags with three horizontal strips in order, whi...

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  8. Let A be a set of n(ge 3) distinct elements. The number of triplets (x...

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  9. The number of possible outcomes in a throw of n ordinary dice in wh...

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  10. In a room there are 12 bulbs of the same wattage, each having separate...

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  11. In a city no two persons have identical set of teeth and there is n...

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  12. Consider the five points comprising the vertices of a square and th...

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  13. The letters of the word COCHIN are permuted and all the permutations a...

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  14. There are 3 men and 7 women taking a dance class. If N ils number ...

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  15. Let S={1, 2, 3, 4} . The total number of unordered pairs of disjoint ...

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  16. Number of permutations of 1, 2, 3, 4, 5, 6, 7, 8, and 9 taken all a...

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  17. The number of distinct natural numbers up to a maximum of four digi...

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  18. In a three-storey building, there are four rooms on the ground floo...

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  19. Find 6C2

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  20. The number of three-digit numbers having only two consecutive digit...

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