web analytics

Misc 11 - In how many ways can letters of ASSASSINATION - Permutation- repeating

  1. Class 11
  2. Important Question for exams Class 11
Ask Download

Transcript

Misc, 11 In how many ways can the letters of the word ASSASSINATION be arranged so that all the S’s are together? Since we need to assigned 4S together 4S consider as one block Remaining letters are A, A, I, N, A, T, I, O, N Since letters are repeating Hence we use this formula = 𝑛!﷮𝑝1!𝑝2!𝑝3! ﷯ Hence n = Letters to be arranged = 9 + 1 = 10 Since 3A, 2I, 2N p1 = 3, p2 = 2, p3 = 2, Number of arrangements where the S’s are together = 10!﷮3!2!2!﷯ = 10×9×8×7×6×5×4×3!﷮3!×2×1×2×1﷯ = 151200 words

About the Author

CA Maninder Singh's photo - Expert in Practical Accounts, Taxation and Efiling
CA Maninder Singh
CA Maninder Singh is a Chartered Accountant for the past 8 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .
  • Ramnik Singh's image

    5 questions, either true or false. No student answer correctly and no students given same sequence of answers. How many total students.

    View answer
Jail