contestada

A) how many ways can the letters in the word computer be arranged in a row?
b.how many ways can the letters of the word computer be arranged if the letters co must remain next to each other as a unit?

Respuesta :

A.

The are 8 total letters:
8!= 8*7*6*5*4*3*2*1
=40320

B.

The are still 8 total letters, but the 1st 2 are constants, CO. So what would scramble the remaining letters as such.

6!= 6*5*4*3*2*1
=720

Hope this helps
dwivedisiddhant03

The permutation is defined as the arrangement number or order in which rearrangement of  element in an order list.

(a) The letters in the word computer be arranged in a row is 40320.

(b) The letters of the word computer be arranged 5040 ways.

Given:

The given latter is COMPUTER.

How to find the permutation of latter?

(a)

There are 8 letter in word COMPUTER. Calculate the number of ways in which we can arrange 8 letters.

[tex]8!=8\times7\times6\times5\times4\times3\times2\times1\\8!=40,320.[/tex]

Thus, the letters in the word computer be arranged in a row is

(b)

As per the question if we treat CO as a unit then there will only seven letters effective.

[tex]7!=7\times6\times5\times4\times3\times2\times1\\7!=5,040[/tex]

Thus, the letters of the word computer be arranged 5040 ways.

Learn more about permutation here:

https://brainly.com/question/1216161

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