Aresearcher wishes to design a fully blocked experiment with groups of subjects representing every possible combination of 1 explanatory variable (control versus treatment) and 4 other variables (male versus female, old versus young, healthy versus ill, and normal weight versus weight) for a total of 5 variables.

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24

answer4 to the second power is 16

and 4 to the third power is 64,

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."