Question

If we permute 8 letters of the world ‘computer' in 8! ways, how many permute words have ‘p' and ‘e' next to each other

Answer 1

= 7! x 2! is the answer.

Answer 2

The number of permuted words is 7! 2! = 10080

Explanation:

• We have been given the word "computer" that has eight letters and thus will be organized in 8! ways.
• Now, we've to search out the quantity of permuted words if 'p' and 'e' area units next to every different.
• The things that move will be assumed as one unit.
• Hence,  will be thought about as one unit. Thus, we've currently totaled seven units in that area unit.
• These will be organized in 7 wayst. will be organized along in 2! ways.

Therefore, the quantity of permuted words is 7! 2! = 10080