Question

The difference between the maximum value of 8Cr and 11Cr is ​

Answer 1

Answer:

The value of r=3

Step-by-step explanation:

see up photos to see clarity answer and how it is solve.

Answer 2

The difference between the maximum value of 8Cr and 11Cr is ​392.

Step-by-step explanation:

We need to find the difference between the maximum value of 8Cr and 11Cr.

The value of $^nC_r$ is maximum when  $r=\dfrac{n}{2}$   (if n is  even) and $r=\dfrac{n+1}{2}$ (if n is odd).

For $^8C_r$, n=8 which is an even number.

$r=\dfrac{8}{2}=4$

So, the value of $^8C_r$ is maximum at r=4.

$^8C_4=\dfrac{8!}{4!(8-4)!}=70$

For $^{11}C_r$, n=11 which is an odd number.

$r=\dfrac{11+1}{2}=6$

So, the value of $^{11}C_r$ is maximum at r=6.

$^{11}C_6=\dfrac{11!}{6!(11-6)!}=462$

The difference between the maximum value of 8Cr and 11Cr is ​

$462-70=392$

Therefore, the difference between the maximum value of 8Cr and 11Cr is ​392.

#Learn more

If 6Pr = 360 and If 6Cr = 15, find r ?

A.5

B.6

C.4

D.3

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