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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Three persons enter in to a conference hall in which there are 10 seats. In how many ways they can take their seats? - Mathematics

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Question

Three persons enter into a conference hall in which there are 10 seats. In how many ways they can take their seats?

Sum

Solution

Number of seats in the conference hall = 10

Number of persons entering into the conference hall = 3

Number of ways of getting a seat for 1st person = 10

Number of ways of getting a seat for 2nd person = 9

Number of ways of getting a seat for 3rd person = 8

By fundamental principle of multiplication

Number of ways of getting seats for 3 persons in conference hall = 10 × 9 × 8 ways = 720 ways

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Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.1 [Page 166]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 1. (iv) | Page 166

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