Combinatorics - math word problems - page 19 of 52
Number of problems found: 1031
- Dice and coin
A number cube is rolled, and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than two and the coin toss is head?
- Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated?
- Cars plates
How many different license plates can a country have since they use 3 letters followed by 3 digits?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero?
- Roads
There are four roads from city A to city B and five roads from city B to city C. How many different routes can we take from city A to city C via city B?
- Screws
The box contains eight iron, six brass, and four titanium screws. What is the probability that the randomly selected screw will not be brass?
- Probability
In the lottery, numbers are drawn from five to 50. What are the chances you will win the first prize?
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
- Bulbs
In the box are 6 bulbs with power 75 W, 14 bulbs with power 40 W, and 15 with 60 W. Calculate the probability that a randomly selected bulb is:
- Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to piatich characters.
- Football league
In the 5th football league is 10 teams. How many ways can be filled first, second, and third place?
- Dice 7
A standard number cube is tossed 210 times. What is a reasonable prediction for the number of times the number cube will land on a 5?
- Bits, bytes
Calculate how many different numbers can be encoded in a 16-bit binary word.
- Repetition 8329
How many 5-digit numbers without repetition have the last digit two smaller than the previous one?
- Face combinations
If I have 20 sets of eyes, 20 noses, and 20 months, how many unique face combinations can I make?
- How many 2
How many three-lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed?
- A three-digit numbers
Determine the total number of positive three-digit numbers that contain a digit 7.
- Two dice
What is the probability that when the roll of two identical dice is the sum of points 7?
- Pins 2
How many different possible four-digit pins can be found on the 10-digit keypad?
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