SOLUTION: Kindly answer this question please!!! Thanks!!! A gold, a silver, and a bronze medal are to be awarded to any 3 of the 12 contestant. In how many
Algebra.Com
Question 217312: Kindly answer this question please!!! Thanks!!! A gold, a silver, and a bronze medal are to be awarded to any 3 of the 12 contestant. In how many ways can the medals be given if A.anyone can be a winner B.The gold medal is to be awarded to a particular person?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
12 contestants.
if anyone can be a winner, the number of possible combinations is given by the formula which becomes
-----
Assuming the winner is chosen, then we are talking about 2 slots left out of 11 contestants which then becomes
-----
To make this easier to show, assume the number of contestants is 4.
3 slots for the winners would be possible ways.
Let the contestants be a,b,c, and d.
The possible ways for the winners would be:
abc
abd
acb
acd
adb
adc
bac
bad
bca
bcd
bda
bdc
cab
cad
cba
cbd
cda
cdb
dab
dac
dba
dbc
dca
dcb
-----
Now assuming d was chosen to be first.
The remaining slots were to be filed with a, b, or c.
-----
the formula would be different ways the second and third positions would be filled.
Those would be:
dab
dac
dba
dbc
dca
dcb
-----
RELATED QUESTIONS
How many different ways can a gold, a silver, and a bronze medal be awarded to 6... (answered by sudhanshu_kmr)
64 athletes are running a race. A gold medal is to be given to the winner, a silver medal (answered by math_tutor2020)
In a race with 10 participants, how many ways are there to award gold, silver, and bronze (answered by math_helper,math_tutor2020)
how many ways could the gold silver and bronze medals be awarded in a contest that has 10 (answered by richard1234)
The medal distribution from the 2004 Summer Olympic Games for the top
23 countries is... (answered by stanbon)
Please help me with this problem:
In the Olympics, the Canadian team won a total of 22... (answered by stanbon)
The three best essays in a contest will receive gold,silver,and bronze stars.there are 10 (answered by edjones)
In a dog show, there will be a gold and a silver medal awarded. There are 4 finalists. In (answered by ikleyn)
At the 2006 Winter Olympics in Italy, the top medal winner was Germany, which won a total (answered by ewatrrr,ReadingBoosters,Theo)