1. ## just explain the given answer

hi there..

The following questions pertain to the word SUCCESS

a-How many different arrangements are there in which all the vowels occur before all the consonants?
SOLUTION: Task 1: place the two vowels first. We have 2 choices.
Task 2: place the “five” remaining consonants next. We have 5!/(2! 3!) ways, by virtue of the same formula. By the Fundamental Counting Principle we end up with (2) 5!/(2! 3!) arrangements, that is, 20.

*i cant understand where did the (2) come from

b-How many different arrangements are there in which all the vowels occur before all the consonants?
(size of A) / (size of any class) = 420 ÷ 10 = 42
didnt know how to approach this type of questions

thanks

2. Originally Posted by alex83
The following questions pertain to the word SUCCESS

a-How many different arrangements are there in which all the vowels occur before all the consonants?
SOLUTION: Task 1: place the two vowels first. We have 2 choices.
Task 2: place the “five” remaining consonants next. We have 5!/(2! 3!) ways, by virtue of the same formula. By the Fundamental Counting Principle we end up with (2) 5!/(2! 3!) arrangements, that is, 20
*[COLOR=Red]i cant understand where did the (2) come from
"UE" OR "EU" that is TWO ways.
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