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

Verify that `""^(9)C_(5)+""^(9)C_(4)=""^(10)C_(5)`

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Verify that: (i) .^(15)C_(8)+.^(15)C_(9)-.^(15)C_(7)=0 " " (ii) .^(10)C_(4)+.^(10)C_(3)=.^(11)C_(4)

8C_(4)+^(8)C_(3)=^(9)C_(4)

If ""^(n)C_(10)= ""^(n)C_(9) , find ""^(n)C_(19) .

Find the sum ^10C_(1)+^(10)C_(3)+^(10)C_(5)+^(10)C_(7)+^(10)C_(9)

Find the value of .^(6)C_(2)+.^(6)C_(3)+.^(7)C_(4)+.^(0)C_(5)+.^(9)C_(6) .

verify that C(15,8)+C(15,9)-C(15,6)-C(15,7)=0

Let U={1,2,3,4,5,6,7,8,9},A = {2,4,6,8} and B={2,3,5,7} . Verify that : (i) (AuuB)^(c)=A^(c)capB^(c) (ii) (AcapB)^(c)=A^(c)uuB^(c) .

The value of |(.^(10)C_(4).^(10)C_(5).^(11)C_(m)),(.^(11)C_(6).^(11)C_(7).^(12)C_(m+2)),(.^(12)C_(8).^(12)C_(9).^(13)C_(m+4))| is equal to zero when m is

AAKASH INSTITUTE-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. If ""^(n)C(10)=""^(n)C(13) , then find the value of ""^(n)C(2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. In how many ways can 10 identical shirts and 7 identical trousers be p...

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  19. In how many ways 4 different white balls and 6 different black balls b...

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  20. In how many ways can 7 boys and 2 girls be seated in a row so that two...

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