1. The new mugwumps license plates consist of three numbers and then three letters. How many possibilities exist if the first digit cannot be a 0? (Repeats allowed)
2. How many 6 digit integers divisible by 5 can be formed using the digits1, 2, 3, 4, 5, 6? Assume there are no repeats.
3. If there are 14 ingredients in the baking cupboard and 4 are removed and arranged, then how many arrangements are possible?
4. S7H 0K2 is representative of a Saskatchewan postal code. How many postal codes can be formed that begin with anSif the digit positions can have any digit in them and the other letters can have any letters in them? (repeats allowed)
5. If there are 14 ingredients in the baking cupboard and 4 are removed and arranged, then how many arrangements are possible?
6. How many positive 4-digit integers can be formed using the digits1, 2, 3, 4if repetition of digits is allowed?
7. How many sets of answers can be given to a five question multiple choice test where each question has 4 possibilities?
8. Using the digits0, 1, 2, 3, 4and not allowing the repetition of digits, how many positive 4-digit numbers can be formed?
9. How many 5-digit integers can be made from the digits 5, 5, 5, 4, 4 if 5 is used three times and 4 is used twice?
10. Mary decided to send invitations for a private party to 30 friends. If she completes 6 invitations in an hour, how many different possible groups could she invite the first hour only?
11. Six points lie on the circumference of a circle. How many quadrilaterals can be formed by connecting 4 points?
12. Out of 20 baseball players on a team, 2 as selected at random to be co-captains. How many different combinations are possible?
13. Out of a group of twelve students, three are to be selected at random to read their papers. How many different groups of three students students can be chosen?
14. A volunteer trip will take 5 girls, 3 boys, and 2 adults. How many ways is this possible if 8 girls, 7 boys, and 4 adults volunteer?
15. Out of a group of 10 guys and 7 women, 3 guys and 2 women are to be selected to represent a union. How many possible committees can be chosen?
16. From a standard deck of cards, how many 10 card hands can be dealt that contains 1 heart, 1 spade, 4 clubs and 4 diamonds out of a total of 52 cards that has 13 of each of these types (suits)?
17. A chef is making a stew with 3 out of 5 meats, and 4 out of 7 vegetables. How many different stews can the chef make?
18. A trip will need 4 canoes, 6 sleeping bags, and 3 adults. How many ways is this possible if 6 canoes, 9 sleeping bags, and 5 adults are available?