Question
In how many different ways can the letters of the word
āVARIOUSāĀ be arranged in such a way that the vowels occupy only the odd positions?Solution
There are 7 different letters in the given word, out of which there are 4 vowels and 3 consonants. Let us mark these positions as under [1][2][3][4][5][6][7] Now, 4 vowels can be placed at any of 4 places out of 4 i.e., 1,3,5,7 Number of ways of arranging the vowels = 4P4 = 4! = 24 ways Also, the 3 consonants can be arranged at the remaining 3 positions Number of ways of these arrangements = 3P3 = 3! = 6 ways Therefore, total number of Ways = 24 Ć 6 = 144 ways.
How many such pair(s) of letters are in the word ā AGREEMENTS ā which has as many letters between them (both forward and backward) as in the English...
If in the given number 674278486, 2 is added to all the odd place digits and 1 is subtracted from the even place digits (from the left end) , then all t...
How many such pairs of letters are there in the word ‘DISPLACED’ each of which has as many letters between them in the word (in both forwar...
How many pairs of letters are there in the word COMPARISONā which has as many letters between them (both forward and backward) in the word as in the E...
If all the consonants of the word āWAREHOUSEā are replaced by immediate preceding letter in the alphabetical series, how many vowels are there in th...
The position of how many letters remain unchanged of the word āAPPRECIATIONā when all the letters of the word are rearranged in English alphabetical...
In the word āVARNISHā all consonants are written as their preceding letter and all vowels are written as their following letters. Now all letters ar...
If all the letters in the word āBEFOREHANDā are arranged in alphabetical order from left to right such that the vowels are arranged first followed b...
- If all the vowels of the word āLAVISHINGā are replaced by their immediate succeeding letters and all the consonants are replaced by their immediate pre...
If in the number 746838592, 1 is added to first four digit of the number and 1 is subtracted from last five digits of the number and then arranged in de...
Relevant for Exams:
