Combinatorics - math word problems - page 32 of 54
Number of problems found: 1077
- Two aces
From a 32-card box, we randomly pick 1 card and then two more cards. What is the probability that the last two drawn cards are aces? - How many 172
How many five-digit numbers are there that have exactly 2 fours and exactly 3 sevens in their notation? - HAMMER 3
Determine how many ways it is possible to rearrange the letters of the word HAMMER so that in this rearrangement some group of consecutive letters forms the word WATER. - Play match
A hockey match played for three periods ended with a score of 2:3. How many possibilities are there on how the given thirds could have been completed? - Competition
Fifteen boys and ten girls are in the class. In the school competition, a six-member team composed of four boys and two girls is selected. How many ways can we choose students? - Basketball
Peter and Franta threw to the basket. Each had 20 attempts. Peter scored thirteen and twelve Franta. Give them a percentage of success. - travel agency
A small travel agency offers five different honeymoon tours. What is the probability that the bride and groom will choose the same tour (they will choose independently)?
- The dice
What is the probability of events if we throw a dice rolled less than 1? - Phone number
A phone number with nine digits, none of which are repeated. The middle number in the second three-digit number is 3 times greater than the 6th and twice greater than the 7th. The three-digit number in the middle 3 numbers is 2 times greater than the last - Divisible 6615
How many 3-digit numbers can be composed of the digits 1,3,5,7,9 if the digits are not allowed to be repeated in the number notation? How many of them are divisible by five? - Distances 83452
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this? - Percentages 83188
There are 10 bags displayed in the store, 2 of which have a hidden error. Buyers randomly choose one bag. Express in percentages the probability that they will buy the bag without a mistake. - Probability 17503
If we choose four numbers from 1 - 20, what is the probability that 6 or 10 will be among them? - Representative 8328
How many ways can a commander and a representative of a 20-member group be elected? - Accommodated 6614
Sixteen students on the brigade will be accommodated in one 8-bed and two 4-bed rooms. How many ways can they do that?
- Girlfriends 4107
Four girlfriends want to take a photo together. How many different ways can they stand side by side? - We randomly
We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation? - Two groups
The group of 10 girls should be divided into two groups with at least four girls in each group. How many ways can this be done? - Probability - cards
What is the probability that when dealing cards after 4, in the game Quartet (eight of fours), we will get the whole quartet? - Five-digit numbers
How many different five-digit numbers can be created from the number 2,3,5 if the number 2 appears in the number twice and the number 5 also twice?
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