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The result of 8 matches (win,loss or draw) are to be predicted. The number of different forecast containing exactly 6 correct results are?
Most Upvoted Answer
The result of 8 matches (win,loss or draw) are to be predicted. The nu...
Number of different forecasts containing exactly 6 correct results
There are 3 possible outcomes for each match - win, loss or draw. Therefore, there are 3^8 = 6561 possible forecasts for the 8 matches.
Calculating the number of forecasts with exactly 6 correct results
In order to calculate the number of forecasts with exactly 6 correct results, we need to consider the number of ways we can choose 6 out of the 8 matches to predict correctly. This can be calculated using the combination formula:
nCr = n! / (r! * (n-r)!)
where n is the total number of matches (8), and r is the number of matches we want to predict correctly (6).
Using this formula, we get:
8C6 = 8! / (6! * (8-6)!) = 28
Calculating the number of forecasts with 2 incorrect results
Now that we know there are 28 possible forecasts with exactly 6 correct results, we need to calculate the number of forecasts with 2 incorrect results. In order to do this, we need to consider the number of ways we can choose 2 out of the 8 matches to predict incorrectly. This can be calculated using the combination formula:
nCr = n! / (r! * (n-r)!)
where n is the total number of matches (8), and r is the number of matches we want to predict incorrectly (2).
Using this formula, we get:
8C2 = 8! / (2! * (8-2)!) = 28
Calculating the total number of forecasts with exactly 6 correct results
Now that we know there are 28 possible forecasts with exactly 6 correct results and 28 possible forecasts with 2 incorrect results, we can calculate the total number of forecasts with exactly 6 correct results:
Total number of forecasts with exactly 6 correct results = 28 * 28 = 784
Conclusion
Therefore, there are 784 different forecasts containing exactly 6 correct results.
Community Answer
The result of 8 matches (win,loss or draw) are to be predicted. The nu...
Any 6 out of 8 will give correct result in one way I.e.., 8c6 other two will give wrong result each in 2 different ways. 8c6*1*2*2=112
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The result of 8 matches (win,loss or draw) are to be predicted. The number of different forecast containing exactly 6 correct results are?
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The result of 8 matches (win,loss or draw) are to be predicted. The number of different forecast containing exactly 6 correct results are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The result of 8 matches (win,loss or draw) are to be predicted. The number of different forecast containing exactly 6 correct results are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The result of 8 matches (win,loss or draw) are to be predicted. The number of different forecast containing exactly 6 correct results are?.
The result of 8 matches (win,loss or draw) are to be predicted. The number of different forecast containing exactly 6 correct results are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The result of 8 matches (win,loss or draw) are to be predicted. The number of different forecast containing exactly 6 correct results are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The result of 8 matches (win,loss or draw) are to be predicted. The number of different forecast containing exactly 6 correct results are?.
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