Consider the set x = {1, 2, 3, 4, 5} and suppose you have two holes. also suppose that you have 10 pigeons: the 2-element subsets of x. can you put these 10 pigeons into the two holes in a way that there is no 3-element subset s = {a, b, c} ⊂ x for which all pigeons from s go in the same hole? then answer the same question if x = {1, 2, 3, 4, 5, 6} with 15 = c(6, 2) pigeons.

Given that abcd is a parallelogram solve for m

Asap i need it now choose all the answers that apply. sex-linked disorders affect males more than females affect females more than males can be carried by females, without being expressed are always expressed in males are caused by genes carried on the x and y chromosomes

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.