1: There are 92 pairs of fraternal twins with opposite genders in a municipality. Among the twins, 2/3 of the boys who are taller than their twin siblings are also heavier, and 4/5 of the boys who are heavier than their twin siblings are also taller. If there are 8 girls who are taller and heavier than their twin siblings, how many boys are taller and heavier than their twin sibling? Problem 2: A rectangular floor, 180 feet by 300 feet, is covered with 1-ft-by-1-ft tiles. It is noted that there is a straight crack from a corner of the rectangular floor to the diagonally opposite corner. How many pieces of the tiles are damaged? Problem 3: If we form all possible 4-letter "words" by using 4 distinct letters from the English alphabet and arrange them alphabetically like in the dictionary, the word ABCD will be in the first position, the word ABCE will be in the second position, and the word ACBD will be in the 553rd position. Find the position of the word "BDF I'm having trouble with this. I need full step by step solution pls