Question
Verne has 6 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny?
A. 24
B. 720
C. 14
D. 696
A. 24
B. 720
C. 14
D. 696
Answers
GPT 3.5
The number of ways to line up 6 books is 6 factorial (6!), which equals 720.
The number of ways to line up 4 books is 4 factorial (4!), which equals 24.
Therefore, Verne can line up his books in 720 different ways, while Jenny can line up her books in 24 different ways.
720 - 24 = 696
Verne can line up his books in 696 more ways than Jenny.
Therefore, the answer is D. 696.
The number of ways to line up 4 books is 4 factorial (4!), which equals 24.
Therefore, Verne can line up his books in 720 different ways, while Jenny can line up her books in 24 different ways.
720 - 24 = 696
Verne can line up his books in 696 more ways than Jenny.
Therefore, the answer is D. 696.