Home
Class 12
MATHS
Seven athletes are participating in a ra...

Seven athletes are participating in a race. In how many ways can the first three athletes win the prizes ?

Text Solution

Verified by Experts

It is equivalent to filling 3 places (as prizes) with 7 persons.
The number of permutations of 7 objects taken 3 at a time is
`.^(7)P_(3)=7xx6xx5=210`
Promotional Banner

Similar Questions

Explore conceptually related problems

Seven athletes are participating in a race.In how many ways can the first three prizes be won?

Ten students are participating in a race. In how many ways can the first three prizes be won?

Ten students are participating in a race. In how many ways can the first three prizes be won?

Eight athletes are participating in a race. In how many ways can the first 3 prizes be won by them?

Ten students are participating in a race.The number of ways in which the first three places can be taken as

Fifteen students compete in a race. In how many ways the first three prizes can be given?

Six horses take part in a race.In how many ways can these horses come in the first, second and third place,if a particular horse is among the three winners (Assume No Ties)?

A child has five pockets and seven marbles.In how many ways can the child put the marbles in his pockets?