A club has 50 members of which 20 are freshman, 15 are sophomores, 10 are juniors and 5 are seniors. How many ways are there to select a president, a vice president, and a secretary if they cannot be from the same class?

∆abc is reflected across the x-axis and translated 2 units up to give the image ∆a'b'c' with coordinates a'(1, 1), b'(2, -1), c'(2, 1). what are the coordinates of the preimage ∆abc? a. a(-1, 1), b(-2, 3), c(-2, 1) b. a(1, 1), b(2, 3), c(2, 1) c. a(1, -3), b(2, -1), c(2, -3) d. a(1, -3), b(2, -5), c(2, -3)

Factor -8x3-2x2-12x-3 by grouping what is the resulting expression?

Math it's appreciated. (picture provided)