SAT Math Practice Question #23188 - SATify | SATify

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SAT Math Practice Question #23188 - SATify | SATify

#23188

combinatorics

hard

120 sec

A permutation $(a_{1}, a_{2}, a_{3}, a_{4}, a_{5}, a_{6})$ of $(1, 2, 3, 4, 5, 6)$ is heavy-tailed if $a_{1} + a_{2} + a_{3} < a_{4} + a_{5} + a_{6}$ . What is the number of heavy-tailed permutations?

A.

300

B.

330

C.

360

D.

390

E.

420