Misc 11 - Chapter 6 Class 11 Permutations and Combinations

Last updated at April 16, 2024 by Teachoo

Transcript

Misc 11
In how many ways can the letters of the word ASSASSINATION be arranged so that all the Sās 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 = š!/(š1!š2!š3! )
Here,
n = Letters to be arranged = 9 + 1 = 10
Since 3A, 2I, 2N
p1 = 3, p2 = 2, p3 = 2,
Number of arrangements where the Sās are together
= 10!/3!2!2!
= (10 Ć 9 Ć 8 Ć 7 Ć 6 Ć 5 Ć 4 Ć 3!)/(3! 2! 2!)
= 151200

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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