Multiplication + multiplication principle - examples
- 7 heroes
5 heroes galloping on 5 horses behind. How many ways can sort them behind?
In how many ways can 7 shuttle vans line up at the airport?
How many different flags can be made from colors red, white, blue, black, yellow, green, purple, gray, orange so that each flag consisted of three different colors?
How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
- Football league
In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
How many ways can 7 guests sit down on 9 seats standing in a row?
How many ways are there to arrange 9 books on a shelf?
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
A class consists of 5 males and 18 females. How many committees of 4 are possible if the committee must consist of 3 males and 1 females?
- Friends in cinema
5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter?
- 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 ways can divide 22 identical candies to 4 children?
How many 3 letter "words" are possible using 18 letters of the alphabet? a) n - without repetition b) m - with repetition
- Three digits number
How many are three-digit integers such that in they no digit repeats?
Combination lock will open when the right choice of 5 numbers (from 1 to 12 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately?
- Morse alphabet
Calculate how many words of Morse code to create compiling commas and dots in the words of one to five characters.
- No. of divisors
How many different divisors has number ??
- Cars plates
How many different licence plates can country have, given that they use 3 letters followed by 4 digits?
From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs?
- Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?