Answer:
There are 4 ways to allocate the pants:
1. 6 long baggy pants, 3 long straight pants, and 3 short pants
2. 6 long baggy pants, 4 long straight pants, and 2 short pants
3. 5 long baggy pants, 4 long straight pants, and 3 short pants
4. 5 long baggy pants, 5 long straight pants, and 2 short pants
18480 ways
Step-by-step explanation:
There are 12 people in the opera, and half of them must wear long baggy pants, which is 6 people.
One-fourth of them must wear long straight pants, which is 12/4 = 3 people.
The remaining 3 people will wear short pants.
So, the allocation of pants can be calculated as follows:
First, we select 6 people to wear long baggy pants from the total of 12 people. This can be done in 12C6 ways, which is 924 ways.
Next, we select 3 people to wear long straight pants from the remaining 6 people. This can be done in 6C3 ways, which is 20 ways.
Finally, the remaining 3 people will wear short pants.
Therefore, the total number of ways to allocate the pants is 924 x 20 = 18480 ways.
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Answers & Comments
Answer:
There are 4 ways to allocate the pants:
1. 6 long baggy pants, 3 long straight pants, and 3 short pants
2. 6 long baggy pants, 4 long straight pants, and 2 short pants
3. 5 long baggy pants, 4 long straight pants, and 3 short pants
4. 5 long baggy pants, 5 long straight pants, and 2 short pants
Answer:
18480 ways
Step-by-step explanation:
There are 12 people in the opera, and half of them must wear long baggy pants, which is 6 people.
One-fourth of them must wear long straight pants, which is 12/4 = 3 people.
The remaining 3 people will wear short pants.
So, the allocation of pants can be calculated as follows:
First, we select 6 people to wear long baggy pants from the total of 12 people. This can be done in 12C6 ways, which is 924 ways.
Next, we select 3 people to wear long straight pants from the remaining 6 people. This can be done in 6C3 ways, which is 20 ways.
Finally, the remaining 3 people will wear short pants.
Therefore, the total number of ways to allocate the pants is 924 x 20 = 18480 ways.