Question

if nc10=nc14 then 25cn=?​

Answer 1

Answer:

25

Step-by-step explanation:

In the given question,

We have been provided that,

$^{n}C_{10}=^{n}C_{14}$

So,

we can write it as,

$^{n}C_{10}=^{n}C_{14}\\\frac{n!}{10!(n-10)!}= \frac{n!}{14!(n-14)!}\\\frac{n(n-1)(n-2).....(n-9)}{10!}=\frac{n(n-1)(n-2).......(n-13)}{14!}$

This equation can be solved in the described format or we can directly check by putting the value of 'n' in the required term.

On solving this we find out that,

n = 24

So,

The value of the term $^{25}C_{n}=^{25}C_{24}=\frac{25!}{24!1!}=25$

So,

The value of the term is given by,

25

Answer 2

Answer:

b)25

Step-by-step explanation:

nC10=nC14

(n-1)=10+14

n=10+14+1

n=25