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

### Related Questions to study

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

Each of the different arrangements which can be made by taking some or all of a number of things at a time is called permutation. The number of permutation without any repetition states that arranging n objects taken r at a time is equivalent to filling r places out of n things =n(n−1)(n−2)......(n−r−1) ways =

Thus we can say that the permutation concerns both the selection and the arrangement of the selected things in all possible ways.

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

Each of the different arrangements which can be made by taking some or all of a number of things at a time is called permutation. The number of permutation without any repetition states that arranging n objects taken r at a time is equivalent to filling r places out of n things =n(n−1)(n−2)......(n−r−1) ways =

Thus we can say that the permutation concerns both the selection and the arrangement of the selected things in all possible ways.