High school + multiplication principle - examples
- Election 4
In a certain election there are 3 candidates for president 5 for secretory and 2 for tresurer. Find how many ways the election may (turn out/held).
- A student
A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 que
- Families 2
There are 729 families having 6 children each. The probability of a girl is 1/3 and the probability of a boy is 2/3. Find the the number of families having 2 girls and 4 boys.
- No. of divisors
How many different divisors has number ??
- 7 heroes
9 heroes galloping on 9 horses behind. How many ways can sort them behind?
How many different flags can be made from colors white, red, green, purple, orange, yellow, blue so that each flag consisted of three different colors?
In how many ways can 6 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 5 guests sit down on 6 seats standing in a row?
What is the probability that a random word composed of chars T, H, A, M will be MATH?
- 2nd class variations
From how many elements you can create 6972 variations of the second class?
How many ways are there to arrange 6 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?
- 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 7 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?
- Morse alphabet
Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters.
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
Combination lock will open when the right choice of 3 numbers (from 1 to 25 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately?
How many are all subsets of set ??