A. Answer each of the questions using a multiplication rule, permutation rule, o

Question

A. Answer each of the questions using a multiplication rule, permutation rule, or combination rule.

1. Ms. Dunn wants to arrange the entire class in a row. How many ways can she order the class if there are 20 people in the class? _____ ways

2. How many Lex~Connect codes are there if each code is written in letters, each code is twelve letters long, and any letter in the alphabet can be repeated? _____ ways

3. How many different arrangements of the letters in the word BANANAS can be arranged? _____ ways

4. The LHS Student Math Team is having a competition. The club advisor will assign students to 3-person teams of no special arrangement at the next Math Team competition. How many 3-person teams can be formed if there are 5 students to select from? _____ ways

5. How many ways can five sopranos and four altos be selected from seven sopranos and nine altos? _____ ways

6. If a woman can select one of three nail-polish colors, one of five lipstick shades, and one of four blush shades, how many different combinations can she make? _____ ways

7. How many different ways can a chairperson and an assistant chairperson be selected for a club if there are 10 people in the club? _____ ways

8. There are six women and seven men in a department. How many ways can a committee of four people be selected? _____ ways

9. There are six women and seven men in a department. How many ways can a committee of four people be selected if there must be two women and three men on the committee? _____ ways

10. Your college ID consists of three letters followed by two numbers. How many cards can be made if repetitions are not allowed? _____ ways

Explanation / Answer

1. Ms. Dunn wants to arrange the entire class in a row. How many ways can she order the class if there are 20 people in the class? _____ ways

he can arrane in 20! ways = 2432902008176640000 are possible

2. How many Lex~Connect codes are there if each code is written in letters, each code is twelve letters long, and any letter in the alphabet can be repeated? _____ ways
we have a 12 letter code and each letter can be repeated in such, every position can be filled with 26 possible letters = (26)^12 = 95428956661682176 ways are possible

3. How many different arrangements of the letters in the word BANANAS can be arranged? _____ ways
different arrangements of the letters in the word BANANA is = 6! / 3! * 2! = 60 ways

4. The LHS Student Math Team is having a competition. The club advisor will assign students to 3-person teams of no special arrangement at the next Math Team competition. How many 3-person teams can be formed if there are 5 students to select from? _____ way

the no. of 3 can be formed from 5 are = 5 C 3 = 10

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