Answer Happy

Please show work or give explanations for all questions. Please write solutions that can be done using 10A/10B techniques without a computer/calculator. [Using normal test, or xtables from lecture is OK, see the last pages.] You need to evaluate all integrals, if any. Except you do not need to do any simplifications beyond that How many 50-character strings of "A", "C", "T's, and/or "G"'s are there: a) In all? b) That have exactly three "A"s? c) That have at least three "A"s? d) Where all the "A"s, if any, come first in a group; then all "C"s, if any, come next in a group; then all "G"s, if any; and then last all "T's, if any? 11. Granola bars come in 10 flavors: Almond, Banana, Cranberry, Date, Espresso, Fig, Gingerbread, Honey, Irish Cream, and Jalapeno. a) How many ways are there to place an order of 15 granola bars if you need exactly 2 Almond bars and at least 4 Banana bars? [An "order" is a list of 10 numbers that say how many of each of the 10 flavors to buy.] b) How many ways are there to place an order of 15 granola bars if you need at most 7 Jalapeno bars, no Gingerbread bars, and at least 5 Banana bars?