(a) If 25 women compete in the marathon at the Olympics, in how many different ways can the gold, silver and bronze medals be awarded?
(b) If a three person committee is chosen at random from a group of 24 people, how many different committees are possible?
(c) in a new lottery game called "Minibucks", you select four numbers between 1 and 15. If you match all four numbers with the four numbers chosen by the lottery that day, you win the jackpot. (It doesn't matter whether the order that the lottery selected the numbers matches the order that you selected the numbers). What is the minimum number of different Minibucks tickets you would need to buy for one drawing in order to be 100% certain to win the jackpot for that drawing?
Answer:-
A) total number of ways in which golden ,silver, bronze, medal be awarded = = 2300
B)
Number of different committee of 3 persone possible = = 2024
C) we need 4 ticket for winning the jackpot.
Total ticket = 15
The minimum number of different Minibucks tickets you would need to buy for one drawing in order to be 100% certain to win the jackpot for that drawing = =1365
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