Suppose we want to choose 7 colors, without replacement, from 10 distinct colors. (a) If the order of the choices matters, how many ways can this be done? 11 (b) If the order of the choices does not matter, how many ways can this be done? 0

Suppose we want to choose 6 colors, without replacement, from 11 distinct colors. (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?

You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 3 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) 318 (B) C(11,4) C(7, 3) (C) P(11,4) P(7,3) (D) P(18,7) (E) 311 (F) C(18,7) (G) P(11,4)+ P(7,3) (H) C(11,4)+ C(7,3) O A OB OC O E O F OG H.

Kindly answer items 4 and 5 of this Differential Equation questions . Write legibly and show the complete solution. On the second column, choices are provided.