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7. A device is constructed from 5 components. 3 of the components are chosen from a...
6. A machine are possible? part comes in 4 lengths, 2 widths, and 2 depths. How...
6. A machine are possible? part comes in 4 lengths, 2 widths, and 2 depths. How many part shapes 7.A device is constructed from 5 components. 3 of the components are chosen from a box of identical Type A components and then 2 of the components are chosen fronm a box of identical Type B components. If the choices can be done in any order, how many different orders of selecting the parts are possi ble?
1- If four alphabets are to be chosen from L, M, N, O, P, Q such...
1- If four alphabets are to be chosen from L, M, N, O, P, Q such that repetition is not allowed then in how many ways it can be done? 2- Sally must choose a 5-digit PIN. Each digit can be chosen from 0 to 9 and the same digit can be used repeatedly. How many possible PIN numbers can be created? 3- Jenny has 8 tops, 5 bottoms, 2 belts, and 2 bracelets. Assuming that everything matches, how many...
A certain lottery requires players to select 7 different numbers, in any order, from 1 to...
A certain lottery requires players to select 7 different numbers, in any order, from 1 to 56 inclusive. How many different sets of 7 numbers can be chosen? The 7 numbers can be chosen in different ways. (Simplify your answer. Type an integer or a fraction.)
A committee consisting of a president, a secretary, and a treasurer, is to be chosen from...
A committee consisting of a president, a secretary, and a treasurer, is to be chosen from among four people: Amy, Bob, Charlotte, and Dan. Amy and Bob cannot be president, Charlotte and Dan cannot be secretary. No person can serve in more than one role. (a) Draw the possibility tree corresponding to the following order of steps: step 1: choose treasurer, step 2: choose president, step 3: choose secretary. Is the number of options in each step independent of the...
A debate team of 3 is to be chosen from a class of 28 where the...
A debate team of 3 is to be chosen from a class of 28 where the order in which the members of the team are chosen does not matter. There are two twin brothers in the class. How many possible ways can the team be formed which will not include any of the twin brothers? round answer to 3 decimal places
A committee of 6 people is to be chosen from a group consisting of 7 men...
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?
Suppose we want to choose 7 objects, without replacement, from 11 distinct objects. (a) How many...
Suppose we want to choose 7 objects, without replacement, from 11 distinct objects. (a) How many ways can this be done, if the order of the choices is not relevant? Х 5 ? E (b) How many ways can this be done, if the order of the choices is relevant? 0
4. If 3 letters are chosen from A, B, C, D and E such that the...
4. If 3 letters are chosen from A, B, C, D and E such that the repetition is not allowed. How many ways this can be done?
5. There are 7 people on a committee. 3 will be chosen to work on a...
5. There are 7 people on a committee. 3 will be chosen to work on a subcommittee. All members of the subcommittee have the same role. How many possible ways are there to choose the subcommittee? 8. . Find the standard deviation of the following discrete probability distribution. A=0.1 x P(x) 0 A 1 0.4 2 1-A 1. Find the standard deviation of the following data: 7,1,2,3
2. (+10 point) In the design of an electromechanical product, 6 components are to be stacked...
2. (+10 point) In the design of an electromechanical product, 6 components are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. (a) If all components are different, how many different designs are possible? (b) If 3 components are identical to one another, but the others are different, how many different designs are possible?
6. A machine are possible? part comes in 4 lengths, 2 widths, and 2 depths. How many part shapes 7.A device is constructed from 5 components. 3 of the components are chosen from a box of identical Type A components and then 2 of the components are chosen fronm a box of identical Type B components. If the choices can be done in any order, how many different orders of selecting the parts are possi ble?
A certain lottery requires players to select 7 different numbers, in any order, from 1 to 56 inclusive. How many different sets of 7 numbers can be chosen? The 7 numbers can be chosen in different ways. (Simplify your answer. Type an integer or a fraction.)
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?
Suppose we want to choose 7 objects, without replacement, from 11 distinct objects. (a) How many ways can this be done, if the order of the choices is not relevant? Х 5 ? E (b) How many ways can this be done, if the order of the choices is relevant? 0
4. If 3 letters are chosen from A, B, C, D and E such that the repetition is not allowed. How many ways this can be done?
2. (+10 point) In the design of an electromechanical product, 6 components are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. (a) If all components are different, how many different designs are possible? (b) If 3 components are identical to one another, but the others are different, how many different designs are possible?
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