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Find the value of ""^(10)C(5)+2. ""^(10)...

Find the value of `""^(10)C_(5)+2. ""^(10)C_(4)+""^(10)C_(3)`.

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The correct Answer is:
792
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I : IF ""^(12)C_(r+1) ="" ^(12) C_(3r-5) then r=3 or 4 . II : If ""^(9) C_(3) +""^(9)C_(5) = ""^(10)C_(r) then r=4 or 6.

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE -1.5 VERY SHORT ANSWER QUESTIONS
  1. If ""^(n)C(21)=""^(n)C(28), then find ""^(50)C(n)

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  2. If ""^(9)C(3)+""^(9)C(5)=""^(10)C(r) then find r.

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  3. Find the value of ""^(10)C(5)+2. ""^(10)C(4)+""^(10)C(3).

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  4. Simplify ""^(34)C(5)+ overset(4) underset(r=0)Sigma ""^((38-r))C(4).

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  5. If ""^(n)P(r)=5040 and ""^(n)C(r)=210, find n and r.

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  6. Find the number of ways of selecting 7 members from a contingent of 10...

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  7. Find the number of ways of selecting 3 girls and 3 boys out of 7 girls...

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  8. Find the number of ways of selecting 3 vowels and 2 consonants from th...

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  9. Find the number of ways of selecting 4 English, 3 Telugu and 2 Hindi b...

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  10. Find the number of ways of selecting a committee of 6 members out of 1...

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  11. Find the number of ways of selecting 5 books from 9 different mathemat...

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  12. The number of five letter words can be formed using 3 consonent...

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  13. 10 persons are sitting in a row. Find the number of ways of selecting ...

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  14. 10 persons are sitting around a circle. In how many ways can 2 persons...

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  15. If a set of 'm' parallel lines intersect another set of 'n' parallel l...

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  16. Find the number of diagonals of a polygon with 12 sides.

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  17. If there are 5 alike pens, 6 alike pencils and 7 alike erasers, find t...

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  18. Find the number of positive divisors of 1080

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  19. Find the number of ways of dividing 80 persons into 3 groups containin...

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  20. Find the number of ways in which 12 things be (i) divided into 4 equal...

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