Determine n if ""^(2n)C(3):""^(n)C(3)...

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

Verified by Experts

The correct Answer is:

5

PERMUTATIONS AND COMBINATIONS
NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 7|11 Videos
PERMUTATIONS AND COMBINATIONS
NCERT GUJARATI|Exercise EXERCISE 7.3|12 Videos
MATHEMATICAL REASONING
NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 14|16 Videos
PRINCIPLE OF MATHEMATICAL INDUCTION
NCERT GUJARATI|Exercise EXERCISE - 4.1|24 Videos

Similar Questions

Explore conceptually related problems

Determine n if ""^(2n)C_(3):""^(n)C_(3)=11:1

If .^(n)C_(9)=.^(n)C_(7) , find n.

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

If ""^(n)C_(8)=""^(n)C_(2) , find ""^(n)C_(2) .

If ""^(n)C_(9)=""^(n)C_(8) , find ""^(n)C_(17) .

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

if .^(2n)C_(2):^(n)C_(2)=9:2 and .^(n)C_(r)=10 , then r is equal to

""^(n)C_(n-r)+3.""^(n)C_(n-r+1)+3.""^(n)C_(n-r+2)+""^(n)C_(n-r+3)=""^(x)C_(r)

The number of positive integers satisfying the inequality .^(n+1)C(n-2)-.^(n+1)C(n-1)<=100 is

if .^(2n+1)P_(n-1):^(2n-1)P_(n)=7:10 , then .^(n)P_(3) equals