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Find n if ""^(n)C(4)=""^(n)C(6)...

Find n if `""^(n)C_(4)=""^(n)C_(6)`

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Find n, if ""^(n)C_(n-4)=5

Find 'n', if ""^(2n)C_(1), ""^(2n)C_(2) and ""^(2n)C_(3) are in A.P.

(i) .^(n)C_(7)=.^(n)C_(5) , find n. (ii) If.^(n)C_(14)=.^(n)C_(16) , find .^(n)C_(28) .

(i) If ""^(n)C_(8)= ""^(n)C_(2) , find ""^(n)C_(2) . (ii) If ""^(n)C_(10)= ""^(n)C_(12) , determine n and hence ""^(n)C_(5) . (iii) If ""^(n)C_(9)= ""^(n)C_(8) , find ""^(n)C_(17) .

(i) If ""^(2n)C_(3) : ""^(n)C_(3)= 11 : 1 , find n. (ii) If ""^(2n)C_(3) : ""^(n)C_(2) = 12 : 1 , find n.

The value of ""^(n)C_(n)+""^(n+1)C_(n)+""^(n+2)C_(n)+….+""^(n+k)C_(n) :

Find .^(n)C_(3) , if .^(n)C_(7)=.^(n)C_(4) .

The expression ""^(n)C_(r)+4.""^(n)C_(r-1)+6.""^(n)C_(r-2)+4.""^(n)C_(r-3)+""^(n)C_(r-4)

If ""^(n)C_(a)= ""^(n)C_(b) ' then find n.

AAKASH INSTITUTE-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. Evaluate : ""^(75)C(73)

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  2. Evaluate : ""^(13)C(10)

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  3. Find n if ""^(n)C(4)=""^(n)C(6)

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  4. If ""^(n)C(10)=""^(n)C(13) , then find the value of ""^(n)C(2)

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  5. If ""^(15)C(x)=""^(15)C(x+3) , then find the value of X.

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  6. Find ""^(18)C(3)+^(18)C(2)

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  7. Verify that ""^(9)C(5)+""^(9)C(4)=""^(10)C(5)

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  8. If .^(n)C(r-1): .^(n)C(r): .^(n)C(r+1)=3:4:5, find the values of n and...

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  9. Prove that : (""^(n)C(r+1))/(""^(n)C(r))=(n-r)/(r+1)

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  10. In how many ways a committee of 7 members can be selected from 10 memb...

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  11. From a class of 30 student , 3 are to be chosen for a competition . In...

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  12. Find the number of diagonals that can be drawn by joining the angular ...

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  13. Find the number of sides of a polygon having 44 diagonals.

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  14. How many committee of 5 members each can be formed with 8 officials an...

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  15. Out of 7 consonants and 4 vowels, words are to be formed by involving ...

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  16. A box contain 5 different red and 6 different white balls. In how many...

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  17. A commttee of 8 is to be formed from 6 women and 5 men. In how many wa...

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  18. Out of the 12 professors a committee of 5 professors is to be formed ....

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  19. From a class of 12 girls and 15 boys, 12 students are to be chosen for...

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  20. In how many ways can 8 stars(**) signs and 6 triangle (Delta ) signs b...

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