What is the formula to find the number of permutations

letumsnemesislh 2022-07-16 Answered
What is the formula to find the number of permutations to 4 sets of 6 numbers?
You can still ask an expert for help

Want to know more about Probability?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

torpa6d
Answered 2022-07-17 Author has 7 answers
Answer:
To find the possible ways to select four objects out a group of six, when order is important, you calculate
P ( 6 , 4 ) = 6 ! 2 ! = 360
Step 1
There is a variety of ways in which permutations are expressed. Here I am using P(n, r) to mean the number of permutations of r objects selected from a group of n objects.
In general, permutations imply that it is important to note the order in which the selections are made. An example would be when people are to be selected from a class of students, with the first selection to be president, the next, vice-president and so on.
Step 2
The number of permutations of r objects selected from n is found by P ( n , r ) = n ! n - r !
P ( 6 , 4 ) = 6 ! 6 - 4 ! = 720 2 = 360
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-08-20
Let X be a normal random variable with mean 12 and variance 4. Find the value of c such that P{X>c}=.10.
asked 2021-08-19
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times.
What are the possible values of X?
asked 2021-08-19
Based on the Normal model N(100, 16) describing IQ scores, what percent of peoples
asked 2021-11-02
The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it needs a new oil filter is 0.45; and the probability that both the oil and filter need changing is 0.25.
If the oil had to be changed, what is the probability that a new oil filter is needed ?
asked 2021-09-04
Mike has 7 white shirts and 4 blue shirts. He picks 3 of the shirts randomly to stuff in his suitcase for a trip.
What is the probability that all 3 shirts selected wil be blue?
asked 2021-11-15
Teams A and B are in a five-game playoff series; the team that wins three games is the team that wins the series. Assume that both teams are evenly matched (i.e., the probability of winning each game is 50/50).
(a) Team A won the first game. What is the probability that team B will win the series?
(b) Continue to assume that Team A has already won one game, but the teams are not evenly matched. Assume that B is a better team. It’s better in that its probability of beating Team A in any one game is .55. What is the probability that Team B will win the series?
asked 2022-02-14
A study shows that approximately 25% of all businessmen who wear ties wear them so tightly that they reduce blood flow to the brain. At a board meeting of 15 businessmen, all of whom wear ties, what's the probability at least one tie is too tight?

New questions

The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual racetracks. Because safety is a primary consideration at such events, many owners elect to install roll bars in their cars. Deegan Industries manufactures two types of roll bars for Porsches. Model DRB is bolted to the car using existing holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Model DRB requires 20 pounds of a special high alloy steel, 40 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan's steel supplier indicated that at most 40,000 pounds of the high-alloy steel will be available next quarter. In addition, Deegan estimates that 2000 hours of manufacturing time and 1600 hours of assembly time will be available next quarter. The pro?t contributions are $200 per unit for model DRB and $280 per unit for model DRW. The linear programming model for this problem is as follows:
Max 200DRB + 280DRW
s.t.
20DRB + 25DRW 40,000 Steel Available
40DRB + 100DRW ? 120,000 Manufacturing minutes
60DRB + 40DRW ? 96,000 Assembly minutes
DRB, DRW ? 0
Optimal Objective Value = 424000.00000
Variable Value blackuced Cost
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
DRB 1000.00000 0.00000
DRW 800.00000 0.00000
Constraint Slack/ Surplus Dual Value
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
1 0.00000 8.80000
2 0.00000 0.60000
3 4000.00000 0.00000
Objective Allowable Allowable
Variable Coef?cient Increase Decrease
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
DRB 200.00000 24.00000 88.00000
DRW 280.00000 220.00000 30.00000
RHS Allowable Allowable
Constraint Value Increase Decrease
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
1 40000.00000 909.09091 10000.00000
2 120000.00000 40000.00000 5714.28571
3 96000.00000 Infnite 4000.00000
a. What are the optimal solution and the total profit contribution?
b. Another supplier offeblack to provide Deegan Industries with an additional 500 pounds of the steel alloy at $2 per pound. Should Deegan purchase the additional pounds of the steel alloy? Explain.
c. Deegan is considering using overtime to increase the available assembly time. What would you advise Deegan to do regarding this option? Explain.
d. Because of increased competition, Deegan is considering blackucing the price of model DRB such that the new contribution to profit is $175 per unit. How would this change in price affect the optimal solution? Explain.
e. If the available manufacturing time is increased by 500 hours, will the dual value for the manufacturing time constraint change? Explain.