The least value of n for which ^(n-1)c3+...

The least value of n for which `^(n-1)c_3+^(n-1)c_4gt ^nc_3` is

Text Solution

Verified by Experts

The correct Answer is:

8

Topper's Solved these Questions

PARABOLA, ELLIPSE AND HYPERBOLA
PATHFINDER|Exercise QUESTION BANK|66 Videos
PERMUTATION AND COMBINATIONS
PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

Find the least value of n for which 1+3+3^2+ .... +3^(n-1) gt 1000 .

If .^(n-1)c_3+^(n-1)c_4gt^nc_3 then n is greater than

Prove that if ngt7 then .^(n-1)C_(3)+.^(n-1)C_(4)gt^(n)C_(3)

The value of ,^nC_0 + ^(n+1)C_1 +^(n+2)C_2+……+^(n+k)C_k is equal to

Find the value of n such that (""^(n)P_(4))/(""^(n-1)P_(4))=(5)/(3), n gt 4

The value of nC_0. ^nC_n +^nC_1 . ^nC_(n-1)++……..+^nC_n . ^nC_0

Find the value of n ^ 2nC_4: ^nC_3=35:2

If c_(0),c_(1),c_(2)..........c_(n) denote the co-efficients in the expansion of (1+x)^(n) then the value of c_(1)+2c_(2)+3c_(3)+.......+nc_(n) is

The value of (""^(n) C_(1)+2. ""^(n) C_(2)+3. ""^(n)C_(3)+…+ n""^(n)C_(n)) is-

The value of sum_(r=0)^(n-1) (""^nC_r)/(""^nC_r+ ""^n C_(r+1)) equals a. n+1 b. n/2 c. n+2 d. none of these

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK

No.of ways to distribute n balls into r boxes is
Text Solution
|
Match List - I with List - II
Text Solution
|
The least value of n for which ^(n-1)c3+^(n-1)c4gt ^nc3 is
Text Solution
|
The letters of the word 'SALOON' are arranged in all possible ways the...
Text Solution
|
number of words that can be formed with the letters of the word ALGEBR...
Text Solution
|
The sum of the digits in the tenth place of all numbers formed with th...
Text Solution
|
The letters of the word PATNA are arranged in all possible ways as in ...
Text Solution
|
The number of words can be formed with the letters of the word PATALIP...
Text Solution
|
The number of integral solutions of a+b+c=0 ,age(-5),bge(-5),cge(-5) i...
Text Solution
|
if the letters of the word SCHOOL are arranged as in a dictionary then...
Text Solution
|
If the number of all numbers less than 2000000 which can be written us...
Text Solution
|
if the sum of the digits occuring in units place of all the 5 digits n...
Text Solution
|
How many different words can be formed with the letters of the word OR...
Text Solution
|
How many different words can be formed with the letters of the word OR...
Text Solution
|
How many different words can be formed with the letters of the word OR...
Text Solution
|
Find the number of ways in which 5 boys and 5 girls be seated in a row...
Text Solution
|
Find the number of ways in which 5 boys and 5 girls be seated in a row...
Text Solution
|
Find the number of ways in which 5 boys and 5 girls be seated in a row...
Text Solution
|
out of 18 points in a plane no three are in the same straight lines ex...
Text Solution
|
out of 18 points in a plane no three are in the same straight lines ex...
Text Solution
|