Which of the following statements is true?
a) √5/8 is rational and √4/9 is irrational
b) √5/8 is irrational and √4/9 is rational
c) both √5/8 and √4/8 are rational
d) both √5/8 and √4/8 are irrational

Option B

Step-by-step explanation:

we know that

A rational number is one that can be represented as the ratio of two whole numbers

so

-----> Is not a rational number, because √5 is not a whole number, is a irrational number

---> Is a rational number, because can be represented as the ratio of two whole numbers

therefore

√5/8 is irrational and √4/9 is rational

165 combinations possible

Step-by-step explanation:

This is a combination problem as opposed to a permutation, because the order in which we fill these positions is not important.  We are merely looking for how many ways each of these 11 people can be rearranged and matched up with different candidates, each in a different position each time.  The formula can be filled in as follows:

₁₁C₃ =

which simplifies to

₁₁C₃ =

The factorial of 8 will cancel out in the numerator and the denominator, leaving you with

₁₁C₃ =

which is 165