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If \ ^(15)Cr :\ ^(15)C(r-1)=11 :5 find r...

If `\ ^(15)C_r :\ ^(15)C_(r-1)=11 :5` find r

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To solve the problem given, we need to find the value of \( r \) such that \[ \frac{^{15}C_r}{^{15}C_{r-1}} = \frac{11}{5} \] ### Step-by-Step Solution: ...
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RD SHARMA-COMBINATIONS-Solved Examples And Exercises
  1. If \ ^(24)Cx=\ ^(24)C(2x+3) find x

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  2. If \ ^(15)C(3r)=\ ^(15)C(r+3),find r

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  3. If \ ^(15)Cr :\ ^(15)C(r-1)=11 :5 find r

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  4. If \ ^(28)C(2r):\ ^(24)C(2r-4)=225 : 11 ,find r

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  5. If \ ^(2n)C3:\ ^n C2=44 :3, find n

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  6. If alpha=\ \ ^m C2,\ then find the value of \ ^(alpha)C2dot

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  7. For all positive integers n , show that \ ^(2n)Cn+\ ^(2n)C(n-1)=1/2(\ ...

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  8. From a class of 32 students, 4 are to be chosen for a competition. In ...

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  9. Three gentlemen and three ladies are candidates for two vacancies. A ...

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  10. If there are 12 persons in a party, and if each two of them shake hand...

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  11. A question paper has two parts, Part A and party B each containing 10 ...

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  12. In how many ways a committee of 5 member can be selected from 6 men an...

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  13. A committee of 3 persons is to be constituted from a group of 2 men...

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  14. What is the number of ways of choosing 4 cards from a pack of 52 pl...

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  15. Out of 5 men and 2 women, a committee of 3 is to be formed. In how man...

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  16. For the post of 5 teachers, there are 23 applicants, 2 posts are re...

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  17. How many triangles can be formed by joining the vertices of a hexagon?

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  18. A polygon has 44 diagonals. The number of its sides are

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  19. From a class of 25 students, 10 are to be chosen for an excursion p...

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  20. In how many ways can 7 plus (+) and 5 minus (-) signs be arranged in a...

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