Q:

At a competition with 6 runners, 6 medals are awarded for first place throughsixth place. Each medal is different. How many ways are there to award themedals?Decide if the situation involves a permutation or a combination, and then findthe number of ways to award the medals.OA. Permutation; number of ways = 720OB. Combination; number of ways = 720Oc. Combination; number of ways = 1OD. Permutation; number of ways = 1

Accepted Solution

A:
Answer:A. Permutation; number of ways = 720 Step-by-step explanation:For the first medal, we have 6 runners that can earn it.  For the second medal, we have 5 runners because there's one who won the first one. For the third, we have 4 runners. And so on up to the 6th medal where we have just one runner left. As this happens all at the same time, we have to multiply them. Ways to award the medals = 6*5*4*3*2*1 = 6! = 720 Remember that a permutation is a combination where the order matters. So, in this case, is a permutation because each medal is different.