JEE Main 2022 · 29 Jun · Shift 1, Mathematics question 30

Let $b_1b_2b_3b_4$ be a 4-element permutation with $b_i\in\{1,2,3,\dots,100\}$ for $1\le i\le4$ and $b_i\ne b_j$ for $i\ne j$, such that either $b_1,b_2,b_3$ are consecutive integers or $b_2,b_3,b_4$ are consecutive integers. Then the number of such permutations $b_1b_2b_3b_4$ is equal to ______.