Pascal's Triangle!(Easy Isn't It)

Discrete Mathematics Level 3

The number of odd numbers in the \(81st\) row of the pascals triangle is A

The sum of the positions of these odd numbers can be written as B.

Find the number of trailing zeroes in \(\large {(A+B)!}\).


  • The sum of the positions refers to the sum of the position numbers of these numbers. For example, If these numbers are at positions 1,2, and 1729 then the sum is 1732
  • The ith row and jth entry is \( { i \choose j } \). Note that the first row is actually row 0, and the first entry is the 0th entry.

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