Answer :
To determine the number of ways we can select four door prizes from eight different ones and distribute them among four people, we can follow these steps:
1. Calculate the number of ways to choose four prizes out of eight: This can be done using the combination formula. The number of ways to choose 4 prizes out of 8 is given by C(8,4) = 8! / (4!(8-4)!) = 70 ways.
2. Distribute the selected prizes among the four people: Since each person can receive one prize, the number of ways to distribute the four selected prizes among four people is 1 way, as each person will receive one prize.
Therefore, the total number of ways to select four door prizes from eight different ones and distribute them among four people is 70.
1. Calculate the number of ways to choose four prizes out of eight: This can be done using the combination formula. The number of ways to choose 4 prizes out of 8 is given by C(8,4) = 8! / (4!(8-4)!) = 70 ways.
2. Distribute the selected prizes among the four people: Since each person can receive one prize, the number of ways to distribute the four selected prizes among four people is 1 way, as each person will receive one prize.
Therefore, the total number of ways to select four door prizes from eight different ones and distribute them among four people is 70.
