Question

Find the number of distinguishable permutations of the word "ELDERLY".

Answer 1

1260

Step-by-step explanation:

Given the word ''ELDERLY'', since there are two letters that repeat (E and L) and the total number of letters is 7, we can go ahead and determine the number of distinguishable permutations of the word "ELDERLY" as shown below;

`(7!)/(2!2!)`
`(7*6*5*4*3*2*1)/((2*1)(2*1))=(5040)/(4)=1260`