Page 175 - DMTH202_BASIC_MATHEMATICS_II

Basic Mathematics-II

Notes 10. Given n objects of k types (where the objects within each type are indistinguishable), ri of
the ith type, there are ! 1! 2!n r r  rk ! permutations. How many circular permutations are
there of such a set?

Answers: Self Assessment

1. Permutation 2. arrangement

3. exclamation mark 4. ORDERS
5. consecutive 6. product
7. 1 8. permutation
9. derangement 10. Permutations.
11. lexicographic or transposition 12. exclusive

13. (n–1)! 14. (n–1)!/2!
15. identical

12.8 Further Readings

Books Giri & Banerjee, Introduction to Business Mathematics, Academic Publishers.
Jacobus Hendricks van Lint, A Course in Combinatorics, Cambridge University
Press.
Marshall Hall, Combinatorial Theory, John Wiley & Sons.

Online links http://www.wtamu.edu

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