• If 24 permutations can be formed using the letters in the work BAKE, why can't 24 permutations also be formed using the letters in the word BABE? How is the number of permutations in BABE determined?
• Performing at a concert are eight rock bands and eight jazz groups. How many ways can the program be arranged if the first, third, and eighth performers are jazz groups?
• Five men and five women line up at a checkout counter in a store. In how many ways can they line up if the first person in line is a woman, and the people in line alternate woman, man, woman, man, and so on?
• How many four-digit odd numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9?