Multiplication principle - examples
A class has 20 students. The classroom consists of 20 desks, with 4 desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends, and would like to sit in the same row. How many possible seating arrangements are there such that Amy, Bob, C
- 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 white, yellow, red, blue, green, orange so that each flag consisted of three different colors?
In how many ways can 8 shuttle vans line up at the airport?
How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
How many ways can 7 guests sit down on 9 seats standing in a row?
- 2nd class variations
From how many elements you can create 6480 variations of the second class?
What is the probability that a random word composed of chars M, R, P, E, I, O, G, S, S, G, R, T, E, C, E, N, I, O, O, R will be GEOMETRICPROGRESSION?
How many ways are there to arrange 9 books on a shelf?
- Phone numbers
How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
How many rectangles with area 2832 cm2 whose sides is natural numbers are?
- Football league
In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
- Playing cards
How many possible ways are to shuffle 7 playing cards?
- Morse alphabet
Calculate how many words of Morse code to create compiling commas and dots in the words of one to five characters.
At the table sit 12 people, 6 on one side and 6 on the other side. Among them are 5 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
Annie has a total of $ 435. The money must be divided into stacks so that each buyer has the same amounth of dollars. How many options she have?
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
How many ways can divide 22 identical candies to 4 children?
Combination lock will open when the right choice of 4 numbers (from 1 to 14 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately?