In how many ways can 8 athletes finish a race for Gold, Silver and Bronze medals ?

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Solution

This is the number of permutations of 8 distinct objects taken three at a time without repititions ( here it means same person cannot get both silver and bronze ).
Thus, ${8_{P}}_{3} = 8 \times 7 \times 6 = 336$ ways.
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In how many ways can 8 athletes finish a race for Gold, Silver and Bronze medals ?

This is the number of permutations of 8 distinct objects taken three at a time without repititions ( here it means same person cannot get both silver and bronze ).Thus, 8P3=8×7×6=336 ways.'

This is the number of permutations of 8 distinct objects taken three at a time without repititions ( here it means same person cannot get both silver and bronze ).
Thus, ${8_{P}}_{3} = 8 \times 7 \times 6 = 336$ ways.
'