Factorial + combinatorial number - practice problems
Number of problems found: 30
- Committees
How many different committees of 2 people can be formed from a class of 21 students? - Cancel fractions
Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)! - Beads
How many ways can we thread four red, five blue, and six yellow beads onto a thread? - Tournament
Determine how many ways can be chosen two representatives from 34 students to school tournament. - Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - 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 it help the commission vote? - Word
What is the probability that a random word composed of chars S, G, R, S, E, I, N, A, L, P, C, T, M, H, E, E will be the SPHERICALSEGMENT? - MATES
In MATES (Small Television tipping), from 35 random numbers are drawn five winning numbers. How many possible combinations are there? - 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? - Cards
How many ways can you give away 32 playing cards to 7 player? - Defective 22153
There are 11 products in the box, of which just four are defective. How many ways can we choose five products so that at least four are not faulty? - 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 - Prize
How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition? - A department
There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people - 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: a) only boys went on the field trip b) just 2 boys went on the field trip - Combinations of sweaters
I have four sweaters, two are white, one red and one green. How many ways can you sort it out? - 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? - Guaranteed 37611
Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1.
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