Maths-

General

Easy

### Question

#### Number of permutations that can be made using all the letters of the word MATRIX is

- 120
- 240
- 480
- 720

### Hint:

Basically Permutation is an arrangement of objects in a particular way or order. While dealing with permutation one should concern about the selection as well as arrangement.

In Short, ordering is very much essential in permutations. In other words, the permutation is considered as an ordered combination.

#### The correct answer is: 720

#### The word MATRIX is a 6 letter word

Thus, number of permutations that can be made using all the letters of the word MATRIX is 6! = 720

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### Related Questions to study

Maths-

#### The number of different signals that can be made by 5 flags from 8 flags of different colours is :

Detailed solution

We have been told that there are 8flags of different colours by taking 5flags at a time. Thus the total number of flags n=8and flags to be taken at a timer = 5

By applying the permutation formula =

Thus, the number of different signals that can be made by 5 flags from 8 flags of different colours is 6720.

We have been told that there are 8flags of different colours by taking 5flags at a time. Thus the total number of flags n=8and flags to be taken at a time

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Thus, the number of different signals that can be made by 5 flags from 8 flags of different colours is 6720.

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Detailed solution

We have been told that there are 8flags of different colours by taking 5flags at a time. Thus the total number of flags n=8and flags to be taken at a timer = 5

By applying the permutation formula =

Thus, the number of different signals that can be made by 5 flags from 8 flags of different colours is 6720.

We have been told that there are 8flags of different colours by taking 5flags at a time. Thus the total number of flags n=8and flags to be taken at a time

By applying the permutation formula =

Thus, the number of different signals that can be made by 5 flags from 8 flags of different colours is 6720.

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