Factorial - examples - page 2

  1. Seating rules
    school_class 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
    words How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition
  3. Committees
    globe How many different committees of 6 people can be formed from a class of 30 students?
  4. Olympics
    olimpiada-medaliile In how many ways can be placed 6 athletes on the podium at the Olympics? Depend on the color of the metal.
  5. Colors
    peracnik Willie got birthday 6 colour pens in different colors. How many ways he can give them side by side in pencil?
  6. Cards
    sedmove karty How many ways can give away 32 playing cards to 5 player?
  7. Big factorial
    sierpinski How many zeros end number 116! ?
  8. MATES
    sazka In MATES (Small Television tipping) from 35 randomly numbers drawn 5 winning numbers. How many possible combinations there is?
  9. Football league
    football_3 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
    sveter I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
  11. VCP equation
    combinatorics3 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
    permutations_3 From how many elements we can create 720 permutations without repetition?
  13. Prize
    metals_1 How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?
  14. Combinations
    kvadrat_3 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
    fact_1 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
    boy_6 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
    ziaci_7 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
    dices2_3 6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap and 1 strap. How many possible combinations?
  19. Lunch
    skola_15 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
    5times_1 Find the value of the expression: 6!·10^-3

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