PRESENTATION ON RESTRICTED PERMUTATION
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The presentation discusses restricted permutations, focusing on cases where only a limited number of objects are considered. It provides examples of calculating permutations for forming four-letter words with and without repetitions, as well as seating arrangements for five individuals with particular conditions. The application of permutations in real-life scenarios, such as job arrangements, is mentioned.
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PRESENTATION ON RESTRICTED PERMUTATION
- 4. RESTRICTED PERMUTATION – In restriction only a small number of objects are considered not all. EXAMPLE- Consider the name PATRICK. a) How many four-letter words can be formed if repetitions are allowed? 7 7 7 7 = 2401 a) How many four-letter words can be formed if repetitions are not allowed? 7 6 5 4 = 840
- 5. EXAMPLE 2 - Five people, A, B, C, D, and E are seated on a bench. In how many ways can they be seated if: a. A and B wish to be seated together? SOL -There are 4 groups: AB, C, D and E. Their factorials are 2!, 1!, 1! and 1! 4! 2! 1! 1! 1! = 48 ways a. A and B must not be together? 5! – 48 = 72 ways
- 6. USES OF PERMUTATIONS : IN JOBS :
- 7. Thank You For Watching By – Himanshu Verma