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A committee of 6 is to be formed from 6 men and 4 women. In how many ways can this be done if the committee contains at least 2 women?

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A N EXCEL PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. A question paper has two parts, part A and part B, each containing 10 ...

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  2. A committee of 6 is to be formed from 6 men and 4 women. In how many w...

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  3. A committee of 6 is to be formed from 6 men and 4 women. In how many w...

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  4. If ^nC8=^nC2find ^nC2

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  5. Determine n if ^(2n)C3:^nC2=12:1

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  6. Determine n if ^(2n)C3:^nC3=11:1

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  7. How many chords can be drawn through 21 points on a circle?

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  8. In how many ways can a team of 3 boys and 3 girls be selected from 5 b...

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  9. Find the number of ways of selecting 9 balls from 6 red balls, 5 white...

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  10. Determine the number of 5 card combinations out of a deck of 52 cards ...

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  11. In how many ways can one select a cricket team of eleven from 17 playe...

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  12. A bag contains 5 black and 6 red balls. Determine the number of ways i...

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  13. In how-many ways can a student choose a programme of 5 courses if 9 co...

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  14. Prove that ^"" nCr=^nC(n-r)

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  15. If ^nC10=^nC12 find ^23Cn

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  16. Find the value of ^10C4

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  17. Show that ^10C4=^9C(4)+^9C3

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  18. prove the result ^(n+1)Cr=^nC(r-1)+^nCr

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  19. Given that ^nCr=(n!)/(r!(n-r)!) What are the values of ^28C(2r) and ^2...

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  20. Given that ""^nCr=(n!)/(n!(n-r)!) if ""^28C(2r): ^24C(2r-4)=225:11 pr...

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