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In how many ways 3 boys and 15 girls can...

In how many ways 3 boys and 15 girls can sits together in a row such that between any 2 boys at least 2 girls sit.

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CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
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  2. If 6x + 5y – 7 = 0 and 2px + 5y + 1 = 0 are parallel lines, find the v...

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  3. In how many ways 3 boys and 15 girls can sits together in a row such ...

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  4. If the lines y = 3x + 7 and 2y + px = 3 perpendicular to each other, f...

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  5. If the 11 letters A, B, ..., K denote an arbitrary permutation of he ...

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  6. In how many ways can four people, each throwing a dice once, make a su...

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  7. If the straight lines kx – 5y + 4 = 0 and 4x – 2y + 5 = 0 are perpendi...

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  8. In how many ways can 5 girls and 3 boys be seated in a row so that no ...

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  9. If 9^(th) term of an A.P. is zero, prove that its 29^(th) term is doub...

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  10. In how many ways can four people, each throwing a dice once, make a su...

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  11. Find n ,if(n+1)! =12xx(n-1)!dot

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  12. Three numbers are in AP. If theirsum is 27 and their product is 648. F...

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  13. Find the total number of integers 'n' such that 2 le n le 2000 and ...

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  14. The number of polynomials of the form x^3 + ax^2 + bx + c which are di...

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  15. Find the number of diagonals in a polygon with n sides.

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  16. Find the total number of n -digit number (n >1) having property that n...

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  17. Prove that (n !)^2 < n^n n! < (2n)!, for all positive integers n.

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  18. Find the sum of the series sum(r=1)^n r/((r+1) !)dot

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  19. Find the exponent of 80 in 200!.

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  20. Prove that .^nPr = ^(n-1)Pr + r^(n-1)P(r-1)

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