The number of possible ways to organize these books based on their number is 240.
<h3>What is the combination?</h3>
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.
<h3>What is the combination formula?</h3>
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
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