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Find `""^(18)C_(3)+^(18)C_(2)`

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To solve the problem of finding \( ^{18}C_{3} + ^{18}C_{2} \), we can use the combinatorial identity: \[ ^{n}C_{r} + ^{n}C_{r-1} = ^{n+1}C_{r} \] ### Step-by-Step Solution: ...
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IF ""^(18) C_r= ""^(18)C_(r+2) , Find the value of ""^ ( r ) C_5

If .^(18)C_(r) = .^(18)C_(r+2) , then evaluate .^(r)C_(5) .

If ""^(18)C_(15)+2(""^(18)C_(16))+""^(17)C_(16)+1=""^(n)C_(3) , then n is equal to :

If \ ^(18)C_x=\ \ ^(18)C_(x+2),\ Solve \ for \ x

Evaluate the following : (i) 1+.^(20)C_(1)+^(20)C_(2)+^(20)C_(3)+....+^(20)C_(19)+^(20)C_(20) (ii) ^(10)C_(1)+^(10)C_(2)+^(10)C_(3)+.....+^(10)C_(9) (iii)^(25)C_(1)+^(25)C_(3)+^(25)C_(5)+.....+^(25)C_(25) (iv) ^(18)C_(2)+^(18)C_(4)+^(18)C_(4)+^(18)C_(6)+....+^(18)C_(18)

The 13 th term in the expansion of (9x-1/(3sqrt(x)))^(18),x gt0 is (i) ""^(18)C_(12)x^(3) (ii) ""^(18)C_(12)x^(6) (iii) ""^(18)C_(12)1/(x^(6)) (iv) ""^(18)C_(12)

Find: (5)/(18)-((-7)/(18))

Find: 2(1)/(2)-1(5)/(18)

"^(30)C_(0)*^(20)C_(10)+^(31)C_(1)*^(19)C_(10)+^(32)C_(2)*18C_(10)+....^(40)C_(10)*^(10)C_(10) is equal to

The value of sum_(r=0)^(10)(r)^(20)C_r is equal to: a. 20(2^(18)+^(19)C_(10)) b. 10(2^(18)+^(19)C_(10)) c. 20(2^(18)+^(19)C_(11)) d. 10(2^(18)+^(19)C_(11))

AAKASH INSTITUTE ENGLISH-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 committees of 5 members each can be formed with 8 officials a...

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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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