If N = 100 and X = 97, find the permutation and combination.
Here, N=100 and X=97
Permutations:
Combinations:
where n! = n(n-1)(n-2).....(3)(2)(1)
The "Permutation or Combination" document in Module 8 of Instructior In the formula for a Permutation, "r" represents: the number of objects being selected, in no particular order O the order of the objects the number of subjects being sampled o o the number of subjects being sampled, minus 1
6.21 LAB: Permutation and Combination Write two functions called permutation0 and combination0, where permutation0 computes and returns n! n -r)! whereas combination0 returns A third function called par_input0 gets the input values for n and r. An example of correct program behavior follows: nput: 32 Output: The permutation is 6, and the combination is 3. LAB ACTIVITY 6.21.1: LAB: Permutation and Combination 0/3 main.py Load default template... 1 Add your code here."
Question 17 1 pts Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. There are 70 people at a meeting. They each give a Valentine's Day card to everyone else. How many cards were given?
Classify the problem according to whether it involves a permutation or a combination. In how many ways can the letters of the word GLACIER be arranged? combination permutation
for these problems state whether it is. permutation or
combination and find the number of possibilities.
1) There are 35 people at a luncheon. They each shake hands with everyone else. How many handshakes were there? 30C2 35 15,34,43,423,7 order doesn't matter: Combination -26, 1572 2' (35-2). 2) A group of 12 people are going to compete in a Pie Eating Contest. First place, second place, and third place all advance to the finals. 3) A team of 10 football...
What is the difference between a combination and a permutation? Give supporting examples.
The "Permutation or Combination" document in Module 8 of Instruction Materialsw In the formula for a Combination, "r" represents: the number of objects being selected, in no particular order O the order of the objects
(1) Let f : [n] [n] be a permutation. A fixed point of f is an element x e [n] such that f(x) - x. Now consider random permutations of [n] and let X be the random variable which represents the number of fixed points of a given permutation. (a) What is the probability that X 0? (b) What is the probability that X-n -2? (c) What is the probability that X-n-1? (d) What is the expectation of X? (Hint:...
Let f [n]n] be a permutation. A fixed point of f is an element x e [n] such that f(x)-x. Now consider random permutations of [n] and let X be the random variable which represents the number of fixed points of a given permutation. (a) What is the probability that X 0? (b) What is the probability that X 2? (c) What is the probability that X--1? (d) What is the expectation of X? (Hint: As usual, express X as...
Given X={1,2,....,n}, let us call a permutation τ of X an adjacency if it is a transposition of the form (i i+1) for i < n. If i<j prove that (i j) is a product of an odd number of adjacencies.