Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk, chair, and lamp.(If necessary, consult a list of formulas.)(a) How many ways can this be done, if the order of the choices is relevant?(b) How many ways can this be done, if the order of the choices is not relevant?

Suppose we want to choose 5 objects, without replacement, from 10 distinct objects.(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 2 letters, without replacement, from the 5 letters A, B, C, D, and E.(If necessary, consult a list of formulas.)(a) How many ways can this be done, if the order of the choices is relevant?(b) How many ways can this be done, if the order of the choices is not relevant?

Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green.(If necessary, consult a list of formulas.)(a) How many ways can this be done, if the order of the choices is relevant?(b) How many ways can this be done, if the order of the choices is not relevant?

Suppose we want to choose 5 colors, without replacement, from 9 distinct colors.(If necessary, consult a list of formulas.)(a) If the order of the choices does not matter, how many ways can this be done?(b) If the order of the choices matters, how many ways can this be done?