Give an exact answer for each part, and explain the reason for your answer (include justification)

(a) (2 points) How many ways can you order a burrito if you get to choose from 2 different types of rice, 2 different types of beans, and 5 different types of meat? In addition, you have the option ofincluding corn, sour cream, onions, avocado, and salsa.

(b) (2 points) How many ways can an organization of 10 people elect a president, vice president, and treasurer?

(c) (2 points) How many different strings of length 4 can you make with the letters M,A,M,M,O,T,H?

(d) (2 points) How many length 8 bitstrings start with 11 or end in 00?

(e) (2 points) How many length 8 bitstrings do not start with 101?

(f) (2 points) Spades is a card game played by 4 players with 2 teams of 2. How many ways can theteams be chosen?