Question

The sum of 'n' natural (positive integer) numbers is n-k. Find the maximum value of k', assuming that it is a whole number.

Answer 1

Given : sum of 'n' natural (positive integer) numbers is $^nC_k$

To find : maximum value of k',

Solution:

Sum on n natural positive numbers

1  + 2 + 3 + ...........................+ n

= n(n + 1)/2

= n!/2!(n-2)!

= ⁿC₂

Comparing with $^nC_k$

k = 2

Value of k  is  2

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