# Combinatorial number - examples - page 4

- Points in plane

The plane is given 12 points, 5 of which is located on a straight line. How many different lines could by draw from this points? - Combinations

How many elements can form six times more combinations fourth class than combination of the second class? - Dice

We throw five times the dice. What is the probability that six fits exactly twice? - Dice

We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times? - 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? - Triangles

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? - Test

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. - Three students

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 - Diagonals

What x-gon has 54 diagonals? - A book

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. - Subsets

How many 19 element's subsets can be made from the 26 element set? - Sweater

Dana confuses sweater and wool has a choice of seven colors. In how many ways she can choose from three colors to the sleeves? - Combinations 6

6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap and 1 strap. How many possible combinations? - Peaches

There are 20 peaches in the pocket. 3 peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten? - Bridge cards

How many bridge hands are possible containing 4 spades,6 diamonds, 1 club, and 2 hearts? - Cancel fractions

Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)! - Find the 2

Find the term independent of x in the expansion of (4x^{3}+1/2x)^{8} - Blocks

There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?

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