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The are 8 events that can be schedules i...

The are `8` events that can be schedules in a week, then
The total number of ways in which the events can be scheduled is

A

`8^(7)`

B

`7^(8)`

C

`7!`

D

`8`

Text Solution

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The correct Answer is:
To solve the problem of scheduling 8 events in a week, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Days of the Week**: There are 7 days in a week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday. 2. **Determine the Options for Each Event**: Each of the 8 events can be scheduled on any of the 7 days. This means that for each event, there are 7 choices. 3. **Calculate the Total Number of Ways**: Since the scheduling of each event is independent of the others, we can multiply the number of choices for each event. - For the first event, there are 7 choices. - For the second event, there are also 7 choices. - This continues for all 8 events. Therefore, the total number of ways to schedule the events is: \[ 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 = 7^8 \] 4. **Conclusion**: The total number of ways in which the 8 events can be scheduled in a week is \( 7^8 \). ### Final Answer: The total number of ways in which the events can be scheduled is \( 7^8 \). ---

To solve the problem of scheduling 8 events in a week, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Days of the Week**: There are 7 days in a week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday. 2. **Determine the Options for Each Event**: ...
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