Question

If ncx = ncy, x ≠ y, then n =​

Answer 1

Answer:

Value of , n = x + y .

Step-by-step explanation:

Given :- $^nC_x= ^nC_y$ ,  where x ≠ y .

To find :- Value of ' n ' .

Solution :-

Step 1)  We know , $^nC_r = ^nC_{n-r}$ --- (1)

Step 2) We have been given ,  $^nC_x= ^nC_y$ --- (2)

Step 3) By comparing eqn. (1) and (2) ,

we can see that ,

r = x ---(3)

n-r = y ---- (4)

putting r = x in eqn. (4)

we get ,

n-x = y --- (5)

• It is given that , x ≠ y

therefore , n = x + y .

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