1. Soft Skills Courses
  2. PMT-101
  3. Unit-7
unit-7-permutations-and-combinations

Unit-7 Permutations and Combinations

In this unit you will study about the Multiplication principle, permutations, combinations and Binomial Theorem.

Suppose 4 passengers enter a bus and 6 seats are vacant. In how many ways can they occupy the seats?





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Answer

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Learning Pundits Content Team

Written on Apr 23, 2019 12:21:29 PM

This is the number of ways of arranging 4 out of 6 objects. So, this can be done in P(6, 4) ways. Here, n = 6, r = 4 and n − r + 1 = 6 − 4 + 1 = 3. Hence, P(6, 4) = 6 × 5 × 4 × 3 = 360. So, the passengers can occupy the seats in 360 ways.