Suppose we want to choose 4 colors, without replacement, from 17 distinct colors.(If necessary, consult a list of formulas.)(a) How many ways can this be done, if the order of the choices is taken into consideration?(b) How many ways can this be done, if the order of the choices is not taken into consideration?

Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and purple.(If necessary, consult a list of formulas.)(a) How many ways can this be done, if the order of the choices matters?(b) How many ways can this be done, if the order of the choices does not matter?

Suppose we want to choose 5 colors, without replacement, from 10 distinct colors.(If necessary, consult a list of formulas.)(a) How many ways can this be done, if the order of the choices is taken into consideration?(b) How many ways can this be done, if the order of the choices is not taken into consideration?

Suppose we want to choose 6 colors, without replacement, from 11 distinct colors.(If necessary, consult a list of formulas.)(a) How many ways can this be done, if the order of the choices matters?(b) How many ways can this be done, if the order of the choices does not matter?

Suppose we want to choose 4 objects, without replacement, from 17 distinct objects.(If necessary, consult a list of formulas.)(a) How many ways can this be done, if the order of the choices is not relevant?(b) How many ways can this be done, if the order of the choices is relevant?

Suppose we want to choose 6 letters, without replacement, from 14 distinct letters.(If necessary, consult a list of formulas.)(a) If the order of the choices is not taken into consideration, how many ways can this be done?(b) If the order of the choices is taken into consideration, how many ways can this be done?