Question

there are 5 different math books, 1 social studies book, and 2 different science books on the shelf. how many different ways can the books be arranged

Answer 1

The number of possible ways to organize these books based on their number is 240.

What is the combination?

In math, this is the concept that describes the organization of a set of elements such as books, people, etc. This concept differs from permutation because in combination, the order does not matter.

What is the combination formula?

The genral formula is:

• nCr = n! / ((n – r)! r!) n
• n= total of elements
• r= elements to be used

But in this case, whe can use the n!.

Based on this, let's find out the total ways the books can  be arranged:

• Math books: 5! = 5 x 4 x 3 x 2 x 1= 120
• Social studies books = 1! = 1
• Science books= 2! = 2 x 1 = 2
• 120 x 1 x 2 = 240 ways

Note: This question is incomplete; here is the complete question:

Tthere are 5 different math books, 1 social studies book, and 2 different science books on the shelf. how many different ways can the books be arranged  if the books of each type must be together?

Learn more about combination in: brainly.com/question/20211959

#SPJ1