2 votes 2 votes How many different words can be formed using all the letters of the word ALLAHABAD? (a) When vowels occupy the even positions. (b) Both L do not occur together. sumit goyal 1 asked Aug 20, 2017 sumit goyal 1 844 views answer comment Share Follow See all 11 Comments See all 11 11 Comments reply Shubhanshu commented Aug 21, 2017 reply Follow Share a) 60 b) 5880.? 1 votes 1 votes sumit goyal 1 commented Aug 21, 2017 reply Follow Share bhai can you tell answer of this also , How many different words can be formed using all the letters of the word ALLAHABAD 0 votes 0 votes Shubhanshu commented Aug 21, 2017 reply Follow Share 7560. 0 votes 0 votes sumit goyal 1 commented Aug 21, 2017 reply Follow Share ok almost all of us solve this by using 9! / 4! 2! = 7560 but bro they are asking different words so we have to subtract -1 becuase allahabad is also there in 7560 , so 7560-1 = 7559 what do u think ? 0 votes 0 votes Shubhanshu commented Aug 21, 2017 reply Follow Share @sumit goyal 1 see, this is the question of permutation and combination where they will ask what are the different permutation of the given word and You have to find all those permutations possible, and the word given in the question is also a permutation of the given word, and whatever answer you calculate contain that permutation also. So, they will ask you different permutations which in your case you have calculated. Secondly, they are asking different words so we have to subtract -1 becuase allahabad is also there in 7560 , so 7560-1 = 7559 what do u think ? No, you do not have to subtract 1 from your answer. If they will say like this:- What are the different numbers of permutation of the word ALLAHABAD other then given permutation. then, in this case, you have to subtract 1, because in 7560 permutations it is also calculated, So, to obtain differently we have to subtract 1. But not in this case. 1 votes 1 votes stblue commented Aug 21, 2017 reply Follow Share No, you don't need to subtract 1 from the result, ALLAHABAD is also a different word, which is not present in remaining 7559 results. 1 votes 1 votes sumit goyal 1 commented Aug 21, 2017 reply Follow Share In how many ways we can rearrange letter of word ALLAHABAD then we have to subtract -1 0 votes 0 votes sumit goyal 1 commented Aug 21, 2017 reply Follow Share bro @stblue i sent you a link if question is ,in how many ways we can rearrange letters of word allahabad then we have to subtract -1 0 votes 0 votes stblue commented Aug 21, 2017 reply Follow Share Yes yes true, when we talk about arrangement we count the word, and when we talk about rearrangement we exclude the given word. I will post another example from arun sharma, which will clear this concept. 0 votes 0 votes abhishek tiwary commented Aug 30, 2017 reply Follow Share in case of "re -arrangement" we have to subtract 1 not arrangement 0 votes 0 votes Shubhanshu commented Aug 30, 2017 reply Follow Share Subtracting 1 means we are excluding that one given arrangement from the total no of arrangements. 0 votes 0 votes Please log in or register to add a comment.
Best answer 1 votes 1 votes Here is an example from Arun sharma, Have a look stblue answered Aug 21, 2017 selected Aug 21, 2017 by sumit goyal 1 stblue comment Share Follow See all 3 Comments See all 3 3 Comments reply sumit goyal 1 commented Aug 21, 2017 reply Follow Share thnks bro 0 votes 0 votes rahul sharma 5 commented Aug 21, 2017 reply Follow Share Are you sure we subtract -1 ? I have not seen any such question except the example you posted 0 votes 0 votes sumit goyal 1 commented Aug 21, 2017 reply Follow Share wo clear hgya , we dont have to subtract 0 votes 0 votes Please log in or register to add a comment.