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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Four children are running a race:In how many different ways could they finish the race? - Mathematics

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Question

Four children are running a race:
In how many different ways could they finish the race?

Sum
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Solution

The first and second places can be filled in 12 ways

The third-place can be filled (from the remaining 2 children) in 2 ways and the fourth place can be filled in 1 way

So the race can be finished in 12 × 2 × 1 = 24 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 3. (ii) | Page 166

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