How many ways can the letter of the word JUPITER be arranged in a row so that vowels appears in alphabetic order?

Question

anonymous · Answer

Ok so first in your mind, think that you have arranged all the vowels in the alphabetical order and that can be done in only 1 way. Now in this case there are 3 vowels "EIU".
now think that there are 7 empty places. Select any 3 place and put these alphabets in this order, so that is 7C3 where C means "Combination".
Now rest other letters you can arrange in any order and that can be done in 4! ways.
so now multiply the result and you will have the answer.