If ""^((n+1))C(3)+""^((n-1))C(4)gt""^(n)...

If `""^((n+1))C_(3)+""^((n-1))C_(4)gt""^(n)C_(3)`, then the minimum value of n is

A

5

B

6

C

7

D

8

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

PARABOLA, ELLIPSE AND HYPERBOLA
SIA PUBLICATION|Exercise Problems|65 Videos
PROPERTIES OF TRIANGLES, HEIGHTS AND DISTANCES
SIA PUBLICATION|Exercise Problems|54 Videos

Similar Questions

Explore conceptually related problems

""^((n+1))C_(3)-""^(n-1)C_(3) =

If ""^(n+1)C_(3)=4""^(n)C_(2) then n=

If ""^(n)C_(4),""^(n)C_(5),""^(n)C_(6) are in A.P., then the value of n is

If ""^(n)C_(r-1):""^(n)C_(r):""^(n)C_(r+1)=2:4:5 then (n,r) is

If ""^(n+1)C_(3)=4(""^(n)C_(2)) , then n is equal to

""^(2n)C_(n+1)+2. ""^(2n)C_(n) + ""^(2n) C_(n-1) =

If 10. ""^(n)C_(2)=3. ""^(n+1)C_(3) find n.

IF ""^((n+1))C_((r+1)): ""^(n)C_(r) : ""^((n-1))C_((r-1))=11:6:3 then (n,r)=

If ""^(2n ) C_(3) : ""^(n) C_(2) = 44 : 3 then n=

SIA PUBLICATION-PERMUTATIONS AND COMBINATIONS -Problems

the number of five digit numbers divisible by 5 that can be for...
Text Solution
|
""^(15)P(8)=A+8.""^(14)P(7 )implies A=
Text Solution
|
If ""^((n+1))C(3)+""^((n-1))C(4)gt""^(n)C(3), then the minimum value o...
Text Solution
|
Let n=1! +4! +7! +. . . +400 ! then ten's digit of n is
Text Solution
|
Let a(n)=(10^(n))/(n!) for n = 1, 2, 3,… then the greatest value of n ...
Text Solution
|
A polygon has 14 diagonals. Then, the number of its sides is
Text Solution
|
The number of subsets of (1, 2, 3...9) containing at least one even nu...
Text Solution
|
P points are chosen on each of the three coplanar lines. The maximum n...
Text Solution
|
A binary sequence is an array of '0' s and 1's . The number o...
Text Solution
|
9 balls are to placed in 9 boxes : and 5 of the balls cannot ...
Text Solution
|
If ""^(n)P(r)=30240and ""^(n)C(r)=252 then the ordered pair (n,r)...
Text Solution
|
Find the number of ways of arranging 8 men and 4 women around a circul...
Text Solution
|
IF a polygon of n sides has 275 diagonals then n=
Text Solution
|
Eight different letters of an alphabet are given . Words of f...
Text Solution
|
The number of natural numbers less than 1000, in which no two dig...
Text Solution
|
A three digit number n is such that the last two digits of it ...
Text Solution
|
s(1),s(2) ...............,s(10) are the speakers in a conference, If s...
Text Solution
|
A person who tosses an unbiased coin gains two points for turning up a...
Text Solution
|
The number of positive odd divisors of 216 is
Text Solution
|
For any integer n ge1, the number of positive divisors of n is denoted...
Text Solution
|