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if C(2n,3):C(n,2)=44:3 find n...

if C(2n,3):C(n,2)=44:3 find n

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If C (2n,3) : C ( n,2)=12 : 1 find n,

If .^(2n)C_(3):^(n)C_(2)=44:3 , for which of the following value of r , the value of .^(n)C_(r) will be 15.

If .^(2n)C_(3):^(n)C_(3)=11:1 , find the value of n.

(i) If (n!)/(2.(n-2)!): (n!)/(4!.(n-4)!) = 2:1 , find the valye of n. (ii) If ((2n)!)/(3!(2n-3)!): (n!)/(2!(n-2)!) = 44:3 , then find the value of n.

If .^(n)C_(8) = .^(n)C_(2) , find .^(n)C_(2) .

If .^(n)C_(5) = .^(n)C_(7) , then find .^(n)P_(3)

If ((2n)!)/(3!(2n-3)!)a n d(n !)/(2!(n-2)!) are in the ratio 44 :3, find ndot

Solve for n : ((2n)!)/( 3!( 2n-3) !) : ( n!)/( 2!( n-2)!) = 44 : 3

Prove that: ^(2n)C_0-3.^(2n)C_1+3^2.^(2n)C_2-..+(-1)^(2n) ..3^(2n)^(2n)C_(2n)=4^n for all value of N

Determine n if (i) ""^(2n)C_(3) : ""^(n)C_(3) = 12:1 (ii) ""^(2n)C_(3): ""^(n)C_(3)= 11:1

RD SHARMA ENGLISH-COMBINATIONS-All Questions
  1. If 15Cr :15C(r-1)=11 :5 find r.

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

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  3. if C(2n,3):C(n,2)=44:3 find n

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  4. If alpha=\ \ ^4 C2,\ then find the value of \ ^(alpha)C2dot

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. In how many ways can 21 books on English and 19 books on Hindi be plac...

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  20. From a group of 15 cricket players, a team of 11players is to be ch...

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