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Solve ""^nC4=""^nC11,...

Solve `""^nC_4=""^nC_11,`

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`""^(2n)C_4=""^nC_11:`
` :. N=4+11=15`
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MBD PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. Compute the""^7C3+""^6C4+""6C3

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  2. Compute the""^8C0+""^8C1+……+""^8C8

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  3. Solve ""^nC4=""^nC11,

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  4. Solve ""^(2n)C3:""^nC3=44:5

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  5. Find n and r if ""^nPr=1680,""^nCr=70.

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  6. How many diagonals can an n-gon (a polygon with n sides ) have ?

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  7. If a set A has n elements and another set B has m elements, what is th...

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  8. From five consonants and four vowels, how many words consist of three ...

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  9. In how many ways can a committee of four gentlemen and three ladies b...

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  10. A bag contains 4 black and 5 white balls out of which 6 balls are draw...

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  11. How many triangles can be drawn by joining the vertices of a decagon ?

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  12. How many triangles can be drawn by joining the vertices and the centre...

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  13. Sixty points lie on a plane, out of which no three points are collinea...

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  14. In how many ways can 10 boys and 10 girls sit in a row so that no two ...

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  15. In how many ways can six men and seven girls sit in a row so that the ...

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  16. How many factors does 1155 have that are divisible by 3?

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  17. How many factors does 210 have ?

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  18. If n is a product of k distinct primes what is the total number of fac...

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  19. If m has the prime factor decomposition P1^(r1),P2^(r2)…….Pn^(rn),what...

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  20. If 20! Were multiplied out, how many consecutive zeros would it have o...

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