EINSTEIN | Vestibular 2026 – Questão 50

QUESTION 50 Consider the following diagram, which forms the word COMBINATORY by creating a path that starts at one of the letters C and always goes to the right or down. In the highlighted word in the diagram, the path started at C, went to the right, went down, went to the right, went down, and went to the right, changing direction 4 times and descending a total of 6 letters. If the path started at the highest letter C, it would only be possible to go down; therefore, there would have been no change of direction and it would have descended 11 letters. If the path started at the lowest letter C, it would only be possible to go to the right; therefore, there would have been no change of direction and it would not have descended any letters. The number of distinct paths that can be taken to form a COMBINATORIAL pattern, in order to descend more than 8 letters and change direction exactly 3 times, or to descend less than 3 letters and change direction exactly 2 times, is equal to (A) 31. (B) 34. (C) 41. (D) 15. (E) 63. ----------------------------------------------------------------------------------------------------------------------- SUBSCRIBE TO THE CHANNEL: @profjosemathias ➡️ FOLLOW MY SOCIAL MEDIA: INSTAGRAM:   / prof.josemathias