# Permutations + variations - math problems

#### Number of problems found: 48

• VCP equation
Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
• N-gon
How many diagonals has convex 11-gon?
• Subsets
How many are all subsets of set ??
• Possible combinations - word
How many ways can the letters F, A, I, R be arranged?
• Tokens
In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.
• Vans
In how many ways can 9 shuttle vans line up at the airport?
• Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful?
• Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with each other?
• School committee
7 students was elected to the school committee. In how many ways can the President, Vice-President, Secretary and Treasurer be selected?
• Seating
How many ways can 6 people sit on 6 numbered chairs (e. g. , seat reservation on the train)?
• 7 heroes
9 heroes galloping on 9 horses behind. How many ways can sort them behind?
• Olympics
In how many ways can be placed 6 athletes on the podium at the Olympics? Depend on the color of the metal.
• Toys
3 children pulled 12 different toys from a box. Many ways can be divided toys so that each children had at least one toy?
• Numbers
How many different 3 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2?
There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
• Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once
• 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).
• Number 4
Kamila wrote all natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
• Combinations 7
A multi-course meal has 3 choices. 3 appetizers, 4 main courses, and 3 desserts. How many different combinations to choose from?
• Combinations of sweaters
I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?

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