Question

find the difference between the greatest value in the 14Cr and 12Cr

Answer 1

Difference = 5544 - 3432 = 2112

Step-by-step explanation:

• We know that;

• $^nC_r$ attains its maximum value for r = $\dfrac{n}{2}$

So, we can understand that;

• $^1^4C_r$ would attain its greatest value for r =$\dfrac{14}{2}$ = 7

Similarly,

• $^1^2C_r$would attain its greatest value for r = $\dfrac{12}{2}$= 6

Now, we find out the difference between their greatest values.

$^1^2C_6 - \ ^1^4C_7 = (11 \times 9 \times 8 \times 7) - (13 \times 11 \times 3 \times 8)$

Thus, the difference = 5544 - 3432 = 2112