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Combinatorics | Number Theory
problem: During a treasure hunt organized by the school's afterschool program, 124 children form groups of four. How many groups are there in total?
Question: Is this partitive (also known as sharing) or measurement (also known as quotative) ? explain your answer
Question: Is this partitive (also known as sharing) or measurement (also known as quotative) ? explain your answer
Combinatorics | Number Theory
how many zero"s are there in tha result of 1!*2!*3!.......99!
give m a shortcut(or formula)to solve suvh kind of problem
give m a shortcut(or formula)to solve suvh kind of problem
Combinatorics | Number Theory
Q.1 (a) In a game show, the contestant is shown 10 boxes, 3 of which contain prizes. If a contestant is allowed to select any three boxes then what is the probability that
i) The contestant wins all the three prizes.
ii) Only one selected box contains prize.
(b) Explain the rolling of a fair die and then flipping of a fair coin with the help of tree diagram.
i) The contestant wins all the three prizes.
ii) Only one selected box contains prize.
(b) Explain the rolling of a fair die and then flipping of a fair coin with the help of tree diagram.
Combinatorics | Number Theory
If only four numbers were used in a license and a digit 0-9 could only be used once per plate, how many different plates can be produced?
Combinatorics | Number Theory
Find the number of distinct 9-element subsets of the multiset (4 ⋅ x,5 ⋅ y, 6 ⋅ z , ∞⋅ u ).
Combinatorics | Number Theory
Suppose You have eight televisions. Three are defective. If teo are randomly selected, compute the probability that both televisions work. What is the probability that at least one of the two does not work?
Combinatorics | Number Theory
Peter picked 4 positive integers a,b,c and d. He wanted to determine the polynomial f(x)= (1−x)^(a+b+c+d)(1+x)^(a+b+c)(1−x+x2)^(a+b)(1+x+x2)^a. He felt lazy and ignored any term that involved x taken to a power larger than 4. He was surprised to see that the result was the term . What is the value of ?
Combinatorics | Number Theory
How many permutations σ of the set {1,2,…,15} are there such that σ(1)=1,|σ(n)−σ(n−1)|≤2 for 2≤n≤15?
Note: σ(n) denotes the nth position of the permutation.
Note: σ(n) denotes the nth position of the permutation.
Combinatorics | Number Theory
There are 20 people on the board of directors of a publicly listed company. Each pair of people are either friends or enemies with each other. Every person has exactly 6 enemies on the board. If every group of 3 directors form a committee, what is the total number of committees that are formed by all friends or all enemies?
Combinatorics | Number Theory
My garage door opener has a 12 switch DIP switch which is set to match an identical DIP switch in the remote and thereby provide some level of security. Each switch on the DIP switch can be either ON or Off. How do you calculate the total possible number of switch combinations?
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#339914 on Dec 2023
#339914 on Dec 2023