n choose k calculator n=80000, k=1000 result
Find out how many different ways you can choose k items from n items set without repetition and without order. This number is also called combination number or n choose k or binomial coefficient or simply combinations. See also general combinatorial calculator.Calculation:
Ck(n)=(kn)=k!(n−k)!n! n=80000 k=1000 C1000(80000)=(100080000)=1000!(80000−1000)!80000!≈5.785×102332
The number of combinations: 5.785657E+2332
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A bit of theory - the foundation of combinatorics
Combinations
A combination of a k-th class of n elements is an unordered k-element group formed from a set of n elements. The elements are not repeated, and it does not matter the order of the group's elements. In mathematics, disordered groups are called sets and subsets. Their number is a combination number and is calculated as follows:Ck(n)=(kn)=k!(n−k)!n!
A typical example of combinations is that we have 15 students and we have to choose three. How many will there be?
Foundation of combinatorics in word problems
- Win in raffle
The raffle tickets were sold to 200, 5 of which were winning. What is the probability that Peter, who bought one ticket, will win? - MATES
In MATES (Small Television tipping), from 35 random numbers, five winning numbers are drawn. How many possible combinations are there? - Ten dices
When you hit ten dice simultaneously, you get an average of 35. How much do you hit if every time you get six, you're throwing the dice again? - Roll the dice
What is the probability that if we roll the dice, a number less than five falls? - Probability 3813
Natalia went to the closet to pick out Daniel's briefs. Daniel has one piece of white briefs and one piece of black briefs in the closet. What is the probability that Natalie will take off his white briefs? - There
There were 12 members on the commission. Five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote? - Page numbering
The book has 88 pages. How many times is the number 4 used for the book numbering?
- Dice
We throw five times the dice. What is the probability that six fits precisely twice? - Sweater
Dana confuses me by stating that sweaters and wool have a choice of seven colors. How many ways can she choose from three colors for the sleeves? - PIN code
The PIN on Michael's credit card is a four-digit number. Michael told his friend: • It is a prime number - a number greater than 1, which is only divisible by the number one and by itself. • The first digit is larger than the second. • The second digit is - Prime number
Jan wrote any number from 1 to 20. What is the probability that he wrote the prime number? - Probability 7812
We have 20 balls in the bag, numbered from 1 to 20. Determine the spring probability that I will pull a ball with a steam number and less than 13 from the bag. - A pizza
A pizza place offers 14 different toppings. How many different three-topping pizzas can you order? - 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-digit integers
How many three-digit natural numbers exist that do not contain zero and are divisible by five?
more math problems »
