Agroup consists of seven men and seven women. four people are selected to attend a conference. a. in how many ways can four people be selected from this group of fourteen? b. in how many ways can four women be selected from the seven women? c. find the probability that the selected group will consist of all women. a. the number of ways to select four people from the group of fourteen is nothing. b. the number of ways to select four women from the group of seven women is nothing. c. the probability is nothing.(type an integer or a simplified fraction.)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

On a cm grid, point p has coordinates (3,-1) and point q has coordinates (-5,6) calculate the shortest distance between p and q give your answer to 1 decimal place

1. evaluate 8x(2)y9(-2) for x=-1 and y=2 2. simplify the equation. -() 3. simplify the expression. [tex]\frac{5}{x(-2) y9(5)}[/tex]