evaluate 60C3/15C3

3 answers

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).
mmmhhh?
60C3 = 34220
15C3 = 455
so 34220/455 = 6844/91= appr 75.21 rounded to 2 decimals
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.