Combinatorics - examples - page 10

  1. Elements
    fact_1 If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
  2. Variation equation
    fun2_4 Solve combinatorics equation: V(2, x+8)=72
  3. Word MATEMATIKA
    math_1 How many words can be created from the word MATEMATIKA by changing the order of the letters, regardless of whether or not the words are meaningful?
  4. Combinations
    trezor_1 How many elements can form six times more combinations fourth class than combination of the second class?
  5. Box and whisker plot
    box-whisker-plot Construct a box and whisker plot for the given data. 56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43
  6. Dice
    dices2_4 We throw five times the dice. What is the probability that six fits exactly twice?
  7. Dice
    dices2_5 We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
  8. Page numbering
    books_10 The book has 88 pages. How many times is the number 4 used for the book numbering?
  9. Test
    test_4 The teacher prepared a test with ten questions. The student has the option to choose one correct answer from the four (A, B, C, D). The student did not get a written exam at all. What is the probability that: a) He answers half correctly. b) He answers.
  10. Triangles
    triangle_234 Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle?
  11. Raffle
    tombola_3 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?
  12. Pins 2
    pin_keyboard how many different possible 4 digits pins can be found on the 10-digit keypad?
  13. Seven
    post_1 Seven friends agree to send everyone a holiday card. How many postcards were sent?
  14. Three students
    terc2_2 Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability 0.04. The problem is resolved
  15. Utopia Island
    doktori A probability of disease A on the island of Utopia is 40%. A probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women on Uto
  16. Diagonals
    diagonals_1 What x-gon has 54 diagonals?
  17. Dd 2-digit numbers
    numbers_49 Find all odd 2-digit natural numbers compiled from digits 1; 3; 4; 6; 8 if the digits are not repeated.
  18. PIN code
    pin_2 PIN on Michael credit card is a four-digit number. Michael told this to his friend: • It is a prime number - that is, a number greater than 1, which is only divisible by number one and by itself. • The first digit is larger than the second. • The second.
  19. A book
    books_32 A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
  20. Digit sum
    cisla_7 How many are three-digit numbers that have a digit sum of 6?

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