Chapter 12.2, Problem 44S

To determine

To find : Situation is permutation or combination.

Answer to Problem 44S

Permutation and $2520$ .

Explanation of Solution

Given information :

An arrangement of the letters in the word algebra.

Formula Used:

  ${}^n{p}_r=\frac{n!}{(n-r)!}$

Calculation :

As the situation we have to arrange the letters. So we used permutation. As $7$ places are present to be filled with letters $a,l,g,e,b,r$ .

  $\frac{1}{2!}{}^7{p}_7=\frac{1}{2}\times \frac{7!}{0!}=2520$

Hence no. of arrangement equals to $2520$ .