Answer the following questions about counting and probability. You may leave answers in the form of fractions and factorials, or P(n,r) or combinations C(n, r) as appropriate. Show your work to...

Extracted text: Answer the following questions about counting and probability. You may leave answers in the form of fractions and factorials, or P(n,r) or combinations C(n, r) as appropriate. Show your work to receive partial credit. a) Suppose there is a deli with 4 sandwiches, 2 sides, 2 sodas and 3 juices. How many different ways can you order one sandwich, two unique sides and a drink (where a drink is either a soda or a juice) b) For random 8 character passwords made of lowercase English characters and numerals, what is the probability that a password does not contain a numeral? Assume all passwords are equally likely