# Combinatorial number + factorial - practice problems

#### Number of problems found: 23

- The flag

The flag should consist of 3 different colored stripes. Available colors: white, red, blue, green and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of flags - Wagons

We have six wagons, two white, two blue, and two red. We assemble trains from them, wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train, because I don't know any different. How many di - Beads

How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread? - STRESSED word

Each letter in STRESSED is printed on identical cards, one letter per card, and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled. - Classroom

Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys - Three workplaces

How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace, and 2 in the third? - Boys and girls

There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that left a) only boys b) just two boys - Cancel fractions

Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)! - Combinations 6

6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations? - VCP equation

Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - Math logic

There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one wa - Salami

We have six kinds of salami that have ten pieces and one kind of salami that has 4 pieces. How many ways can we choose five pieces of salami in a distinct way? - Combinations

If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements? - There

There were 12 members on the commission. In the vote, five members were in favor, and seven members were against the proposal. In how many ways could help the commission vote? - Prize

How many ways can be rewarded 9 participants with the first, second, and third prizes in a sports competition? - Combinations of sweaters

I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done? - MATES

In MATES (Small Television tipping), from 35 random numbers drawn 5 winning numbers. How many possible combinations are there? - Cinema

How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners? - Committees

How many different committees of 2 people can be formed from a class of 21 students? - Commitee

A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females?

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See also our combinations calculator. Combinatorial number - practice problems. Factorial - practice problems.