Ambitious Arrangements

Probability Level 5

How many ways can the integers 1,1,2,3,4,5,61,1,2,3,4,5,6 be arranged in a row, so that no integer is immediately adjacent to two strictly larger integers?

Details and assumptions

The sequence 3,1,2,4,5,6,13, 1, 2, 4, 5, 6, 1 is not valid as 1 is adjacent to 2 and 3, both of which are strictly larger than 1.
The sequence 6,1,1,2,4,5,3 6, 1, 1, 2, 4, 5 , 3 satisfies the conditions of the question. Note that the number 3 is only adjacent to one strictly larger integer.

×

Problem Loading...

Note Loading...

Set Loading...