HMMT 十一月 2016 · 冲刺赛 · 第 18 题

英文原题

[ 10 ] An 8 by 8 grid of numbers obeys the following pattern:

1. The first row and first column consist of all 1s.
2. The entry in the i th row and j th column equals the sum of the numbers in the ( i − 1) by ( j − 1)
   sub-grid with row less than i and column less than j .
   What is the number in the 8th row and 8th column?
   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
   HMMT November 2016, November 12, 2016 — GUTS ROUND
   Organization Team Team ID#