Home
Class 12
MATHS
Find the ratio of ^20 Cra n d^(25)Cr whe...

Find the ratio of `^20 C_ra n d^(25)C_r` when each of them has the greatest possible value.

Text Solution

Verified by Experts

The correct Answer is:
`143//4025`
Maximum value of `.^(20)C_(r ) " is" .^(20)C_(10)` and maximum value of `.^(25)C_(r )`is `.^(25)C_(12)`. Hence, the required ratio is `.^(20)C_(10)//^(25)C_(10)=143//4025`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the ratio of .^20C_r and .^(25)C_r when each of them has the greatest possible value.

If ^25C_r= ^25C_(2r+1) ,the value of ^rC_5 is

If the sides of a triangle are 17 , 25a n d28 , then find the greatest length of the altitude.

If the ratio .^2n C_3:^n C_3 is equal to 11:1 find ndot

When any two sides and one of the opposite acute are given, under certain additional condition two triangle are possible. The case when two triangle are possible is called the ambiguous case. In fact when any two sides and the angle opposite to one of them are given either no triangle is possible or only one triangle is possible or two triangle are possible. In the ambiguous case, let a, b, and angleA are given and c_1,c_2 are two values of the third side c The difference between two values of c is

Find the value of n in each of the following cases : if .^(n)C_(n-4)=70

Find the value of n in each of the following cases : if .^(n)C_(n-2)=21

When any two sides and one of the opposite acute are given, under certain additional condition two triangle are possible. The case when two triangle are possible is called the ambiguous case. In fact when any two sides and the angle opposite to one of them are given either no triangle is possible or only one triangle is possible or two triangle are possible. In the ambiguous case, let a, b, and angleA are given and c_1,c_2 are two values of the third side c. Two different triangle are possible when

Find n and r if .^(n)P_(r)=336 and^(n)C_(r)=56 .

If .^(2n)C_(r)=.^(2n)C_(r+2) find the value of r.