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  1. Chapter 7 Class 11 Permutations and Combinations
  2. Serial order wise

Transcript

Misc 11 In how many ways can the letters of the word ASSASSINATION be arranged so that all the Sโ€™s are together? Since we need to assigned 4S together, We consider 4S as one block So, our letters become We arrange them now Since letters are repeating Hence we use this formula = ๐‘›!/(๐‘1!๐‘2!๐‘3! ) Here, n = Letters to be arranged = 9 + 1 = 10 Since 3A, 2I, 2N p1 = 3, p2 = 2, p3 = 2, Number of arrangements where the Sโ€™s are together = 10!/3!2!2! = (10 ร— 9 ร— 8 ร— 7 ร— 6 ร— 5 ร— 4 ร— 3!)/(3! 2! 2!) = 151200

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.