Question

Sum of series (25C13 + 25C14 + .... + 25C25) is

Answer 1

Step-by-step explanation:

the question is to find the sum so must try with the formula sn = n÷2[2a+(n-1)d]

Answer 2

The sum of the series (25C13 + 25C14 + .... + 25C25) is equal to $2^2^5,$ where "C" stands for combination.

• In combinatorics, the combination formula nCr gives the number of ways to choose r items from a set of n items. The formula is given by nCr = n! / (r! * (n-r)!).
• In this series, n = 25 and the values of r range from 13 to 25.

• By adding up all the combinations from r=13 to 25, we get the sum of all possible combinations of 25 items taken 13 to 25 at a time.
• This sum is equal to $2^2^5$, or 32,768.

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