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If \ ^(16)Cr=\ \ ^(16)C(r+2), find \ ^(...

If `\ ^(16)C_r=\ \ ^(16)C_(r+2)`, find `\ ^(r) C_4`

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RD SHARMA ENGLISH-COMBINATIONS-All Questions
  1. If \ ^8Cr-\ ^7C3\ =^7C2\ find r

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  2. If .^(n+2)C8:^(n-2)P4:: 57 : 16 , find n

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  3. If \ ^(16)Cr=\ \ ^(16)C(r+2), find \ ^(r) C4

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  4. If C(n,4) = C(n,6). Find C(12,n)

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  5. If \ ^(24)Cx=\ ^(24)C(2x+3) find x

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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