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

Solve `""^(2n)C_3:""^nC_3=44:5`

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A committee of 4 gentlemen and 3 ladies is to be formed out 7 gentlemen and 6 ladies. `:.` "The number of ways in which the committee can be formed". ""^7C_4xx""^6C_3=(7*6*5)/(3*2)xx(6*5*4)/(3*2)=700`
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MBD PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. Compute the""^8C0+""^8C1+……+""^8C8

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. How many factors does 210 have ?

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

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

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

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  20. How many factors of 10,000 end with a 5 on the right ?

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