How Do You Calculate 'n' in This Permutation Problem?

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In summary, a permutation is an arrangement of objects in a specific order. The number of permutations can be found using the formula n! / (n-r)!, and it differs from combination in that it involves ordering the selected objects. Permutations can be used in real life situations such as determining the order in which people play a game. In mathematics and science, permutations are used in various fields to solve problems related to arrangements, combinations, and probability.
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Arunachaleshwar
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Find 'n' using permutations:

1/4! + 1/5! + 1/6! = n/7!
 
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Arunachaleshwar said:
1/4! + 1/5! + 1/6! = n/7!

Welcome on MHB Arunachaleshwar!...

... the problem You propose is not 'impossible'... multiplying the two sides for 7! You have...

$\displaystyle n= 7 \cdot 6 \cdot 5 + 7 \cdot 6 + 7 = 259$

... can it be that You are sending an encrypted message in which the number 259 has a special meaning? ...

Kind regards

$\chi$ $\sigma$
 

Related to How Do You Calculate 'n' in This Permutation Problem?

1. What is a permutation?

A permutation is an arrangement of objects or elements in a specific order. In other words, it is a way of selecting and ordering a set of objects.

2. How do you find the number of permutations?

The number of permutations can be found by using the formula n! / (n-r)!, where n is the total number of objects and r is the number of objects being selected and ordered. This formula is also known as the permutation formula.

3. What is the difference between permutation and combination?

Permutation involves selecting and ordering a set of objects, while combination only involves selecting a set of objects without considering the order in which they are selected.

4. Can you give an example of using permutations in real life?

One example is when a group of people take turns playing a game. The order in which they play can be determined by using permutations.

5. How is permutation used in mathematics and science?

Permutation is used in a variety of mathematical and scientific fields, such as statistics, computer science, and genetics. It is used to solve problems involving arrangements, combinations, and probability.

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