Question 21A permutation $(a_1, a_2, a_3, a_4, a_5)$ of $(1, 2, 3, 4, 5)$ is *heavy-tailed* if $a_1 + a_2 \lt a_4 + a_5.$ What is the number of heavy-tailed permutations?$36$$40$$44$$48$$52$