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xxMikexx [17]
2 years ago
14

On a shelf of a book store, there are 3 books on English, 4 books on Economics and 5 books on Business Mathematics. How many col

lections can be made, if each collection consists of at most 3 books on each subject?​
Mathematics
1 answer:
shutvik [7]2 years ago
3 0

If each collection consists of at most 3 books on each subject, the number of collection that can be made of 3 English, 4 Economics, and 5 Business Mathematics books are <u>40</u>.

<h3>What is a combination?</h3>

A combination, as a mathematical technique, determines the number of possible arrangements in a collection of items.

In the combination, the order of the selection does not matter.

The implication is that in combinations, one can select the items in any order, unlike permutations, where the order of selection matters.

<h3>Data and Calculations:</h3>

English books on shelf = 3

Economics books on shelf = 4

Business Mathematics books on shelf = 5

Collections to be made = 3 books on each subject

The solution can be set up as a combination problem, as follows:

3 C 3 x 4 C 3 x 5 C 3

3! / 3! (3 – 3)! The solution is 1.

4! / 3! (4 – 3)! The solution is 4.

5! / 3! (5 – 3)! The solution is 10.

1 x 4 x 10

= 40

Thus, if each collection consists of at most 3 books on each subject, the number of collections that can be made of 3 English, 4 Economics, and 5 Business Mathematics books is <u>40</u>.

Learn more about combinations and permutations at brainly.com/question/4658834

#SPJ1

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