# Factorial - examples - page 2

1. Seating rules
In a class are 24 seats but in 7.B class are only 18 students. How many ways can student seat? (The class has 12 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10.
2. Words
How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition
3. Committees
How many different committees of 6 people can be formed from a class of 30 students?
4. Olympics
In how many ways can be placed 6 athletes on the podium at the Olympics? Depend on the color of the metal.
5. Colors
Willie got birthday 6 colour pens in different colors. How many ways he can give them side by side in pencil?
6. Cards
How many ways can give away 32 playing cards to 5 player?
7. Big factorial
How many zeros end number 116! ?
8. MATES
In MATES (Small Television tipping) from 35 randomly numbers drawn 5 winning numbers. How many possible combinations there is?
9. Football league
In the football league is 16 teams. How many different sequence of results may occur at the end of the competition?
10. Combinations of sweaters
I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
11. VCP equation
Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
12. Permutations without repetition
From how many elements we can create 720 permutations without repetition?
13. Prize
How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?
14. Combinations
If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
15. Elements
If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
16. 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
17. Classroom
Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys
18. Combinations 6
6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap and 1 strap. How many possible combinations?
19. Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will be enough school year to take of all the possibilities?
20. Value
Find the value of the expression: 6!·10^-3

Do you have an interesting mathematical example that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.