# Multiplication principle - high school - math problems

1. Cube construction A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. How many ways can we thread 4 red, 5 blue and 6 yellow beads on the thread?
4. Families 2 There are 729 families having 6 children each. The probability of a girl is 1/3 and the probability of a boy is 2/3. Find the the number of families having 2 girls and 4 boys.
5. A student A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 que
6. How many 2 How many three lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed
7. Dice We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
8. Boys and girls There are 20 boys and 10 girls in the class. How many different dance pairs can we make of them?
9. Boys and girls There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that left a) only boys b) just two boys
10. Boys and girls There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them?
11. Bridge cards How many bridge hands are possible containing 4 spades,6 diamonds, 1 club, and 2 hearts?
12. One three We throw two dice. What is the probability that max one three falls? On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
14. Bookshelf and books How many can we place 7 books in a bookshelf?
15. Two groups The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?
16. Raffle There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least 4 winnings for a group of people who have bought 5 tickets together?
17. A jackpot How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i. E. , home win or away win.
18. Mumbai A job placement agency in Mumbai had to send ten students to five companies two to each. Two of the companies are in Mumbai and others are outside. Two of the students prefer to work in Mumbai while three prefer to work outside. In how many ways assignment
19. Three workplaces How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third?
20. Dice We throw five times the dice. What is the probability that six fits exactly twice?

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