you have 2math books, 3history books and 7science books. how many ways are there to arrange...
There are 5 different French books and 5 different Spanish books. How many ways are there to arrange them on a shelf if: (a) Books of the same language are grouped together, French on the left, Spanish on right? (b) French & Spanish books must alternate in the grouping, beginning with a French book?
Suppose you have six different books on a shelf with labels A, B, C, D, E, and F. (a) In how many different ways can you arrange the books on the shelf? In other words, how many distinct linear permutations of these are possible? (b) In how many different ways can you arrange the books on the shelf if books A, B, and C are grouped together? For example, EBACFD would be an acceptable arrangement, but EBAFDC would not be...
A student has six different math books, four different history books, and seven different science books. In how many different ways can they be arranged on a shelf if books in the same category are kept next to one another? Show the calculations that lead to your answer.
Kelly has different books to arrange on a shelf; 2 blue, 4 green, and 3 red. Answer parts a through e below. (a) In how many ways can the books be arranged on a shelf? way(s) (Type a whole number.) (b) If books of the same color are to be grouped together, how many arrangements are possible? way(s) (Type a whole number.) (c) In how many distinguishable ways can the books be arranged if books of the same color are...
I have nine different programming textbooks on my bookshelf, five C++ and four Java. In how many ways can I arrange the books a) if there are no restrictions? b) ifthe languages should alternate? c) if all the C++books must be next to each other? d) if all the C++books must be next to each other and all the Java books must be next to each other? 1. 2. Suppose that you draw five cards from a standard deck of...
6. A box contains 8 novels and 7 math books going to loan 6 books to a friend. How many different (a) You are book selections could your friend receive? going to loan 3 novels and 4 math books to a friend. How (b) You are many different book selections could your friend receive? (c) You are going to loan at least 13 books to a friend. How many different book selections could your friend receive? going to loan at...
In how many ways can 6 books be arranged on a shelf if: a) two particular books must be side by side? b) these two books must not be side by side?
There are 24 books on a shelf. How many ways are there to choose 5 of them so that no two of the chosen books stand next to each other ?
3. There are 2n + I identical books. How many ways are there to place these books onto three shelves so that there are always more books on any pair of shelves than on the other shelf.