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Eight horses run a race. In how many ways can the first three finishers turn out?

1 Answer

11 votes
Answer:
21 different ways
Step-by-Step-Explanation:
There are eight horses,
We are going to call horse 1; H1
Horse 2: H2
Horse 3: H3
And so on..

How many different combinations of (H(?), H(?), H(?)) turn out?

1. H1, H2, H3
2. H1, H3, H4
3. H1, H4, H5
4. H1, H5, H6
5. H1, H6, H7
6. H1, H7, H8
7. H2, H3, H4
8. H2,H4, H5
9. H2, H5, H6
10. H2, H6, H7
11. H2, H7, H8
12. H3, H4, H5
13. H3, H5, H6
14. H3, H6, H7
15. H3, H7, H8
16. H4, H5, H6
17. H4, H6, H7
18. H4, H7, H8
19. H5, H6, H7,
20. H5, H7, H8
21. H6, H7, H8
User Deepak Shajan
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