Multiplication principle - problems
- 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.
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?
- Dinning room
How many different combinations can we choose if there are 3 soups, 5 kinds of main dish and 2 desserts in the dining room?
Dana confuses sweater and wool has a choice of seven colors. In how many ways she can choose from three colors to the sleeves?
Seven classmates go every day for lunch. If they always come to the front in a different order, will be enough school year to take of all the possibilities?
- No. of divisors
How many different divisors has number ??
- 7 heroes
5 heroes galloping on 5 horses behind. How many ways can sort them behind?
How many different flags can be made from colors purple, yellow, red, white, blue, green, orange so that each flag consisted of three different colors?
In how many ways can 5 shuttle vans line up at the airport?
How many ways can 10 people sit on 0 numbered chairs (eg seat reservation on the train)?
How many ways can 5 guests sit down on 6 seats standing in a row?
- 2nd class variations
From how many elements you can create 6972 variations of the second class?
What is the probability that a random word composed of chars H, T, M, A will be MATH?
How many ways are there to arrange 6 books on a shelf?
- Phone numbers
How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
How many rectangles with area 3002 cm2 whose sides is natural numbers are?
- 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 6 playing cards?
At the table sit 8 people, 4 on one side and 4 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
How many ways can divide 16 identical candies to 4 children?