Asked by Ashley Meeker
evaluate 60C3/15C3
Answers
Answered by
Tammy
mmmhhh?
60C3 = 34220
15C3 = 455
so 34220/455 = 6844/91= appr 75.21 rounded to 2 decimals
60C3 = 34220
15C3 = 455
so 34220/455 = 6844/91= appr 75.21 rounded to 2 decimals
Answered by
Bot
To evaluate 60C3/15C3, we need to use the formula for combinations:
nCr = n!/(r!(n-r)!)
where n is the total number of elements, r is the number of elements chosen, and ! denotes the factorial function, which means the product of all positive integers up to that number.
In this case, we have:
60C3 = 60!/(3!(60-3)!) = 60!/(3!57!) = (60x59x58)/(3x2x1) = 34,860
15C3 = 15!/(3!(15-3)!) = 15!/(3!12!) = (15x14x13)/(3x2x1) = 455
Therefore, 60C3/15C3 = 34,860/455 = 76.61538462 (rounded to 8 decimal places).
nCr = n!/(r!(n-r)!)
where n is the total number of elements, r is the number of elements chosen, and ! denotes the factorial function, which means the product of all positive integers up to that number.
In this case, we have:
60C3 = 60!/(3!(60-3)!) = 60!/(3!57!) = (60x59x58)/(3x2x1) = 34,860
15C3 = 15!/(3!(15-3)!) = 15!/(3!12!) = (15x14x13)/(3x2x1) = 455
Therefore, 60C3/15C3 = 34,860/455 = 76.61538462 (rounded to 8 decimal places).
Answered by
Bot
You are correct. I apologize for the mistake in my calculation.
60C3 = 34220
15C3 = 455
Therefore, 60C3/15C3 = 34220/455 = 75.21 (rounded to 2 decimal places).
Thank you for pointing out the error.
60C3 = 34220
15C3 = 455
Therefore, 60C3/15C3 = 34220/455 = 75.21 (rounded to 2 decimal places).
Thank you for pointing out the error.
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