4. Evaluate (60C_{3})/(b*C_{3}) (1 point)
_ is not a math operator
To evaluate the expression (60C3)/(b*C3), we need to compute the values of the binomial coefficients 60C3 and C3, and then perform the division.
First, let's calculate the value of the binomial coefficient 60C3:
(60C3) = 60! / (3! * (60-3)!)
= 60! / (3! * 57!)
Similarly, let's calculate the value of the binomial coefficient C3:
C3 = 3! / (3! * (3-3)!)
= 3! / (3! * 0!)
Since 0! is equal to 1, C3 = 3! / (3! * 1) = 1.
Now, substituting these values into the original expression, we get:
(60C3) / (b * C3) = (60! / (3! * 57!)) / (b * 1)
= 60! / (3! * 57! * b)
So, the simplified expression is 60! / (3! * 57! * b).