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nikhil yadala Grade: 12th pass
        

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

6 years ago

Answers : (4)

Sudheesh Singanamalla
114 Points
										

ABACUS


vowels = AAU = 3 vowels.


number of letters = 6


let us take the vowels as one.


so number of letters now = 4


number of ways in which vowels occur together = 4! = 4*3*2*1=24


but the vowels can also be shifted in 3! ways = 3*2*1 = 6


so total ways in which vowels occur together = 6*24 = 144


 


so the answer is 144 ways.


 


Please approve.

6 years ago
parth pankaj tiwary
18 Points
										

you can assume AAU as only one element and can find the number of ways easily.............

6 years ago
SHUBHRANSHU KUMAR
19 Points
										

there are six words in abacus


take vowels a single unit AAU=1WORD


SO THERE ARE NOW 4 WORDS AND THEY CAN BE ARRANGED IN  4*3*2*1 =24 WAYS.


BUT THERE ARE THREE VOWELS THAT CAN BE ARRANGED IN 3*2*1/2* =3 WAYS  AS THERE ARE TWO SAME VOWELS AA.


SO TOTAL WAYS ARE   72.

6 years ago
aditi jangid
15 Points
										

let us assume AAU = X


now we have to arrange XBCS


dis can be done in 4! ways... 4!=24


now AAU cn be arranged in 3 ways...


so answer vil be 24*3 = 72.

6 years ago
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