The nth term is given by 2ⁿ-1.
The series looks like, 1, 3, 7, 15, 31, 63, 127, ...
The triangle will be rotated with the rule of (x,y) → (-y,x). The image will be congruent to the pre-image, the side lengths will be the same and the angles too.
In a sequence of events, the
total possible number of ways all events can performed is the product of the
possible number of ways each individual event can be performed. Since there
are 10 openings
<span>P = 40 x 39 x 38 x 37 x 36 x 35
x 34 x 33 x 32 x 31 = 3.07599 x 10^15 different combinations</span>
