Home
Class 11
MATHS
Determine n if (i) ""^(2n)C(3) : ""^(n...

Determine `n` if
(i) `""^(2n)C_(3) : ""^(n)C_(3) = 12:1`
(ii) `""^(2n)C_(3): ""^(n)C_(3)= 11:1`

Text Solution

AI Generated Solution

To solve the given problem, we need to determine the value of \( n \) for the two scenarios provided. We will use the formula for combinations, which is given by: \[ ^nC_r = \frac{n!}{r!(n-r)!} \] ### Part (i): ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NCERT|Exercise SOLVED EXAMPLES|24 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT|Exercise EXERCISE 7.1|6 Videos
  • MATHEMATICAL REASONING

    NCERT|Exercise EXERCISE 14.3|4 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT|Exercise EXERCISE 4.1|24 Videos

Similar Questions

Explore conceptually related problems

Determine n if ""^(2n)C_(3):""^(n)C_(3)=12:1 .

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

If .^(2n)C_(3):.^(n)C_(3)=12:1 , find n.

3""^(n)C_(0)+10""^(n)C_(1)+28""^(n)C_(2)+82""^(n)C_(3)+…(n+1) terms =

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

If .^(2n)C_(3):^(n)C_(3)=11:1 , find the value of n.

If ""^(2n)C_(1), ""^(2n)C_(2) and ""^(2n)C_(3) are in A.P., find n.