which of the following probabilistic operations would be used to find the number of ways 10 things could be placed into two groups if order does not matter
a factorial
b permutation
c combination
d factorization
Since order does not matter
Number of ways 10 things could be placed into two groups = 10C5
This is combination as we have to pick 5 things out of 10 = 10C5
C) combination is correct
which of the following probabilistic operations would be used to find the number of ways 10...
What generating functions can be used to find the number of ways in which postage of r cents can be pasted on an envelope using 1-cent, 3-cent, and 20-cent stamps? (a) Assume that the order the stamps are pasted on does not matter. (b) Assume that the stamps are pasted in a row and their order matters.
10. A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. a. (4) List the simple events in the sample space if order does not matter. You may use a code such as N= nickel 1, n= nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. b. (2) Show how to use a permutation or a combination formula to determine the...
Use a tree diagram for the following. a. Find the number of ways 2 letters can be choosen from the set {A, B, C, D } if order is important and repetition is allowed. b. Reconsider part a if no repeats are allowed. c. Find the number of combinations of 4 elements taken 2 at a time. Does this answer differ from part a or b?
A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. (4) List the simple events in the sample space if order does not matter. You may use a code such as N = nickel 1, n = nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. (2) Show how to use a permutation or a combination formula to determine the number...
In a class, there are 20 girls, and 10 boys. Find the number of ways a teacher can select a team of 4 students to work on a group project if the team consists of: A) any 4 students B) 2 boys, and 2 girls C) 3 girls and 1 boy D) 4 of the same kind E) at least 2 girls
Let w e Sbe a permutation which rearranges 8 objects identified with letters, altering their positions to become as in the lower line of what follows: [A B C D E F G H (F DAEH C B G a) Express w as a product of disjoint cycles. Is w an even permutation, or an odd permutation? What is its order? b) Calculate wy, w and w-2 as products of disjoint cycles. c) Does there exist TE Sg for which...
Let wE S7 be a permutation which rearranges 7 objects as follows, showing the result on the lower line 2 3 4 6 7 5 5 4 2 7 6 1 3 a) Express was a product of disjoint cycles representing how each object moves Is w an even permutation, or an odd permutation? What is its order? products of disjoint cycles b) Calculate w3, w5 and w' 2 as c) Does there exist T E S7 for which T-lwr...
3.) Suggest two separate alcohol and alkyl halide combinations that could be used to produce the following ethers. Which combination would be the better choice, and why? (10 points) 3.) Suggest two separate alcohol and alkyl halide combinations that could be used to produce the following ethers. Which combination would be the better choice, and why? (10 points)
10% Ownership 3. Under which method of accounting used by the parent prior to consolidation will the parent's net income equal the consolidated net income? a. Equity Method b. Partial Equity Method c. Initial Value Method d. Fair Value Method 4. Under the equity method, the investor should account for Income from Discontinued Operations from the investees with: a. A footnote disclosure only b. The ordinary income from the investee c. With its Income from discontinued operations d. An adjustment...
2. Suppose we want to multiply two N-by-N matrices, C-A B, by following the componentwise formula に1 (a) What are the operation counts? (b) In floating-point arithmetic, for which of these operations does the order matter? (c) Write a Matlab program that implements this formula. 2. Suppose we want to multiply two N-by-N matrices, C-A B, by following the componentwise formula に1 (a) What are the operation counts? (b) In floating-point arithmetic, for which of these operations does the order...