Shandra is trying to pick out an outfit for the first day of school. She can choose from 8 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 4 pairs of shoes. How many different outfits does Shandra have to choose from?
To find the total number of different outfits Shandra can choose from, we multiply the number of choices for each category:
8 pants x 6 t-shirts x 7 sweaters or hoodies x 4 pair of shoes = 1,344 different outfits
Shandra has 1,344 different outfits to choose from for the first day of school.
Four students, Deepa, Deondra, Fawzia, and Nathaniel, line up one behind the other. How many different ways can they stand in line?
The number of different ways the four students can stand in line can be calculated using the factorial function.
The factorial function, denoted by !, is the product of all positive integers up to a given number. For example, 4! (read as "4 factorial") is calculated as:
4! = 4 x 3 x 2 x 1 = 24
Similarly, for 4 students, the total number of ways they can stand in line is:
4! = 4 x 3 x 2 x 1 = 24
Therefore, there are 24 different ways the four students can stand in line.
Allison is organizing textbooks on her bookshelf. She has a Spanish textbook, a math textbook, a physics textbook, and a health textbook. How many different ways can she line the textbooks up on her bookshelf?
To find the number of different ways Allison can line up the textbooks on her bookshelf, we use the factorial function.
Allison has 4 textbooks, so the total number of ways she can line them up is:
4! = 4 x 3 x 2 x 1 = 24
Therefore, there are 24 different ways Allison can line up the Spanish, math, physics, and health textbooks on her bookshelf.