A badminton team of 4 men and 4 women is to be selected from 9 men and 6 women. (i) Find the total number of ways in which the team can be selected if there are no restrictions on the
selection.

Two of the men are twins.
(ii) Find the number of ways in which the team can be selected if exactly one of the twins is in the
team.

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

Identify the number as a rational or irrational.explain. 127