# Combinatorics - math word problems

#### Number of problems found: 316

- 2nd class variations

From how many elements you can create 2450 variations of the second class? - 2nd class combinations

From how many elements you can create 4560 combinations of the second class? - Football league

In the 5th football league is 10 teams. How many ways can be filled first, second and third place? - Playing cards

How many possible ways are to shuffle 7 playing cards? - Tournament

Determine how many ways can be chosen two representatives from 34 students to school tournament. - Event probability

The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (probability is same)? - Dice

How many times must throw the dice, the probability of throwing at least one six was greater than 90%? - Guests

How many ways can 7 guests sit down on 8 seats standing in a row? - Bulbs

The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of eight bulbs can operate 4000 hours? - Shooters

In army regiment are six shooters. The first shooter target hit with a probability of 49%, next with 75%, 41%, 20%, 34%, 63%. Calculate the probability of target hit when shooting all at once. - Seating

How many ways can 6 people sit on 6 numbered chairs (e. G. , seat reservation on the train)? - School trip

The class has 19 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms. (Each room has its unique number) - Phone numbers

How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated? - N-gon

How many diagonals has convex 11-gon? - Party

At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party? - Family

What is the probability that a family with 7 childrens have: exactly 5 girls? 7 girls and 0 boys? Consider the birth probability of a girl is 48.69% and boy 51.31%.

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