A is a set of distinct objects where the order of possible arrangements is important. permutation combination permutation or combination none of the above /e o op A student has one dime, one penny, one nickel and one quarter. The number of different sums of money that can be formed using only two of these coins is: a. 6 b. 12 c. 16 d. 24 A soccer team holds tryouts to fill 20 spots. If 32 people try out, how many different team combinations are possible? a. 3Gy b. Cs c. 32!-20! d. 20! In Canada, all postal codes are made up of six characters, which follow the pattern letter-digit-letter-digit-letter-digit. The first letter of the code identifies a specific region. Each of the remaining two letters in the postal code can be any of 20 letters, and each of the three digits can be any digit from 0 to 9. All letters and digits can be repeated. 1. In Alberta, all postal codes start with the letter T. How many different postal codes are possible in Alberta? 2. A ski trip at the school has been arranged. There are 30 students that have paid for the trip and 6 parents that have volunteered to chaperone. To transport the students and parents easily, they are to be divided into two groups. One group has 10 students and 2 parents, and the other group has 20 students and 4 parents. a) How many different groups of 10 students can be formed? b) Mina is one of the students going on the ski trip, and Mina's mother volunteered to be one of the chaperones. Mina's mother would prefer to be in the smaller group and not in the same group as Mina. If this wish is honoured, how many ways can the smaller group and its chaperones be chosen? 3. The binary system is used for computer programming. A binary number consists of a string of digits that are either Os or Is. a) If a string of binary code is 5 digits long, how many binary numbers are possible if the first digit is a 1? b) How many different binary numbers can be represented by a string of binary code with 5 digits if the first digit is 1 and the last two digits are 07