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NCERT · Class 11 · Maths

Chapter 7: Permutations and Combinations Miscellaneous Exercise

Practice each question, then open the answer or worked solution.

Questions

11 questions
Q11Written answer

In how many ways can the letters of the word ASSASSINATION be arranged so that all the S are together?

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Worked solution

In the given word ASSASSINATION, there are 4 ‘S’. Since all the 4 ‘S’ have to be arranged together, let us take them as one unit.

The remaining letters are= 3 ‘A’, 2 ‘I’, 2 ‘N’, T

The number of letters to be arranged is 9 (including 4 ‘S’)

Using the formula
NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Image 56where n is the number of terms and p1, p2 p3 are the number of times the repeating letters repeat themselves.

Here, p1= 3, p2= 2, p3 = 2

Putting the values in the formula, we get

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Image 57

Access other exercise solutions of Class 11 Maths Chapter 7 – Permutations and Combinations

Exercise 7.1 Solutions 6 Questions

Exercise 7.2 Solutions 5 Questions

Exercise 7.3 Solutions 11 Questions

Exercise 7.4 Solutions 9 Questions

Also explore – NCERT Class 11 Solutions