Misc 11
In how many ways can the letters of the word ASSASSINATION be arranged so that all the Sâ€™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 = đť‘›!/(đť‘ť1!đť‘ť2!đť‘ť3! )
Here,
n = Letters to be arranged = 9 + 1 = 10
Since 3A, 2I, 2N
p1 = 3, p2 = 2, p3 = 2,
Number of arrangements where the Sâ€™s are together
= 10!/3!2!2!
= (10 Ă— 9 Ă— 8 Ă— 7 Ă— 6 Ă— 5 Ă— 4 Ă— 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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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