Combinatorics - math word problems - page 30 of 54
Number of problems found: 1079
- Sweater
Dana confuses me by stating that sweaters and wool have a choice of seven colors. How many ways can she choose from three colors for the sleeves?
- Digits
How many five-digit numbers can be written from numbers 0.3,4, 5, and 7 divided by 10, and digits are repeated?
- Fourland - characters
In Fourland, they only have four letters F, O, U, and R, and every word has exactly four letters. No letter may be repeated in any word. Write all the words that can be written with them.
- Hockey match
The hockey match ended with a result of 3:1. How many different storylines may the match have?
- Neighborhood
I have 7 cups: 1 2 3 4 5 6 7. How many opportunities for standings cups are there if 1 and 2 are always neighborhood?
- Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1, 8, 7, 4,9?
- Repetition 80362
How many six-digit numbers without repetition can be formed from the digits 1, 2, 3, 4, 5, and 6, if the numbers are, to begin with: a) the digit 4; b) digits 4 or 5?
- Repeated 79734
How many numbers a) less than 500, b) greater than 500 can be formed from the digit 0,1,5,8,9 so that no digit is repeated?
- Numbers 65734
There are 100 tickets in a pocket with the numbers 1 to 100. What is the probability that we will randomly draw a ticket with a number starting with the number 5?
- Three-digit 9531
How many three-digit numbers do not change if we replace the digit in the hundreds with the digit in the units?
- Three-digit 6690
How many three-digit numbers do we make from the numbers 4,5,6,7?
- Probability 6559
In the first container, we have 3 white and 6 black balls. In the second container, we have 2 white and 6 black balls. We randomly transfer 1 ball from the first container to the second container. What is the probability that I then pick 2 white marbles f
- Smoker male
For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker. For this particular population, it is found that P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.1
- Dance party
At the dance party, the organizer discovered that 168 different dance pairs could be formed from girls and boys. How many boys are there at the dance if there are 12 girls?
- Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
- Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock?
- Natural numbers
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7?
- First class
The shipment contains 40 items. 36 are first-grade, and four are defective. How many ways can we select five items so that it is no more than one defective?
- Cards
Suppose that are three cards in the hats. One is red on both sides, one of which is black on both sides, and a third one side red and the second black. We randomly pull out a hat on one card and see one side of it is red. What is the probability that the
- The confectionery
The confectionery sold five kinds of ice cream. If the order of ice cream does not matter, how many ways can I buy three kinds?
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