At the Winter Olympics ten women qualify for the Womens Gian

At the Winter Olympics, ten women qualify for the Women’s Giant Slalom competition. Considering that there can be no ties, how many different ways could the gold, silver and bronze medals be awarded for that event?

Solution

as only one women can take gold, one can take silver and 1 in bronze

the number of ways for gold will be 10C1 = 10

THE NUMBER OF WAYS FOR SILVER QILL BE 9C1= 9 ( 9 BECAUSE, 1 PERSON ALREADY WON GOLD)

THE NUMBER OF WAYS THE BRONZE CAN BE WON IS 8C1 = 8 ( 8 BECAUSE , 1 PERSON WON GOLD, AND 1 PERSON WON SILVER