1. In how many ways can four letters of the word ‘SERIES’ be arranged?





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  • By: anil on 05 May 2019 02.40 am
    We can see that letters are S, S, E, E, I, R. Case 1: When all 4 letters are different. There is only one way where we select one each S, E, I, R. Total number of 4 letter words which can be formed using these letters = $$4!$$ = 24. Case 2: When all 2 letters are of 1 type and 2 letters are different. Total number of ways in which 4 letter can be chosen = 2C1*3C2 = 6 Total number of 4 letter words which can be formed using these letters = $$6*dfrac{4!}{2!}$$ = 72 Case 3: When all 2 letters are of 1 type and remaining 2 letters are of different another same type. There is only one way when we select S, S, E, E. Total number of 4 letter words which can be formed using these letters = $$dfrac{4!}{2!*2!}$$ = 6 We have considered all possible cases. Hence, total number of four letters of the word can be made = 24 + 72 + 6 = 102. Hence, option D is the correct answer.
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People who are hard, grasping, selfish, cruel, and always ready to take advantage of their neighbours, become very rich if they are clever enough not to overreach themselves. On the other hand, people who are generous, public spirited, friendly, and not always thinking of the main chance, stay poor when they are born poor unless they have extraordinary talents. Also as things are today, some are born poor and others are born with silver spoons in their mouths: that is to say, they are divided into rich and poor before they are old enough to have any character at all. The notion that our present system distributes wealth according to merit, even roughly, may be dismissed at once as ridiculous. Everyone can see that it generally has the contrary effect; it makes a few idle people very rich, and a great many hardworking people very poor.On this, intelligent Lady, your first thought may be that if wealth is not distributed according to merit, it ought to be; and that we should at once set to work to alter our laws so that in future the good people shall be rich in proportion to their goodness and the bad people poor in proportion to their badness. There are several objections to this; but the very first one settles the question for good and all. It is, that the proposal is impossible and impractical. How are you going to measure anyone's merit in money? Choose any pair of human beings you like, male or female, and see whether you can decide how much each of them should have on her or his merits. If you live in the country, take the village blacksmith and the village clergyman, or the village washerwoman and the village schoolmistress, to begin with. 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