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Homework Statement 1. Given a 5 by 5 square with the numbers 1,2,3,4,...,25 in sequence in the successive rows. Pick out five numbers so that no two of them are in the same row or same column. What is their sum? Prove that this sum is constant for any five numbers chosen this way...

thank you SO much! that makes a lot of sense. i really appreciate it

Homework Statement Given integers 4, 8, 7, 5. An inversion occurs when one integer is larger than an integer that follows it; thus, in the above arrangement there are two inversions due to 8 and one due to 7 or three inversions in all. There are twenty distinct possible integers arranged in...