In a race in which eleven automobiles are entered and there are no ties, in how many ways can the first three finishers come in
Answers
Given : In a race eleven automobiles are entered and there are no ties
To find : in how many ways can the first three finishers come in
Solution:
First position can be achieved in 11 ways ( 11 Players)
Second position cn be achieved by 10 ways ( remaining 10 Players)
Third position can be achieved by 9 ways ( remaining 9 Players)
Total number of Ways = 11 * 10 * 9
= 990
in 990 Ways first three finishers come in
other method
three players can be selected in ¹¹C₃ ways = 165
3 position can be selected in 3! ways = 6 ways
Total Ways = 165 * 6 = 990 Ways
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