Question: How many different ways can the letters of the word "ALGEBRA" be arranged? Question: In how many ways can 4 boys and 3 girls be seated in a row if the boys and girls are seated alternately? Question: How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4,5 without repetition? Question: In how many ways can 5 different books be arranged on a shelf? Question: In how many ways can 5 different balls be distributed into 3 different boxes if each box can contain any number of balls (including zero)?