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Find the differences between the greatest values in the following:

14Cr and 12Cr

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Greatest value of 14Cr

Here, n = 14, which is even.

Greatest value of nCr occurs at r  = n/2 if n is even.

∴ Difference between the greatest values of 

14Cr and 12Cr = 14Cr12Cr

= 3432 – 924

= 2508

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