Answer:
324,632 possible combinations
Step-by-step explanation:
We are looking for the amount of combinations of 5 students we can have in a class of 35 students. We write this as 35_C_5. The formula for finding the number of combinations of x objects from a set of y objects is x_C_y = .
Then we have:
35_C_5 =
--- expand
--- simplify
324,632 --- simplify
324,632 possible combinations
Answer:
The answer can't be simplified.
Step-by-step explanation:
In order to answer the question, you have to calculate the prime factors of 74 to see if the expression can be simplified.
If at least one of the prime factors has an exponent bigger or equal than 2 (because the expression has a squareroot), then the expression can be simplified using the properties of exponential numbers and irrational numbers to extract the factor or the factors from the squareroot.
(For example the property )
Calculating the prime factors:
74/2 = 37 but 37 is a prime number so:
37/37 =1
74 = 2 x 37
Therefore, can't be expressed as a simplier number.