Given 8 cards: A, B, C, D, E, F, G, H How many ways can all...

Given 8 cards: A, B, C, D, E, F, G, H How many ways can all the cards be arranged if you select with replacement?

How many ways can four cards be arranged if you select with replacement?

How many permutations are possible if you select 5 cards without replacement?

How many combinations are possible if you select 6 cards without replacement?

If the B and C cards are made into A cards, and the E, F, and G cards are made into H cards, how many permutations are possible if you select all the cards without replacement?

Expert Solution

orchestra answered 2 years ago

In how many ways can 9 people { A, B, C, D, E, F, G, H,...

In how many ways can 9 people { A, B, C, D, E, F, G, H, I } be seated at a round table if (A) A and B must not sit next to each other; (B) C, D, and E must sit together? (C) A and B must sit together, but neither can be seated next to C, D, or E. Consider each of these separately. For (C) you may NOT simply list all possibilities, but must use the...

In how many ways can 7 people { A, B, C, D, E, F, G }...

In how many ways can 7 people { A, B, C, D, E, F, G } be seated at a round table if (a) A and B must not sit next to each other; (b) C, D, and E must sit together (i.e., no other person can sit between any of these three)? (c) A and B must sit together, but neither can be seated next to C or D. Consider each of these separately. For (c) you may NOT...

How many proper subsets are there for this set {A,B,C,D,E,F,G,H,I}?

(Circular Permutations) In how many ways can 7 people { A, B, C, D, E, F,...

(Circular Permutations) In how many ways can 7 people { A, B, C, D, E, F, G } be seated at a round table if (a) A and B must not sit next to each other; (b) C, D, and E must sit together (i.e., no other person can sit between any of these three)? (c) A and B must sit together, but neither can be seated next to C or D. Consider each of these separately. Hint: Conceptually, think...

Let S denote the 10-element set {a,b,c,d,e,f,g,h,i,j}. How many ways can we construct a subset of...

Let S denote the 10-element set {a,b,c,d,e,f,g,h,i,j}. How many ways can we construct a subset of S of size 7 ? 120 How many ways can we construct a subset of S of size 7 containing the element j? 84 How many ways can we construct a subset of S of size 7 containing i but not j ? 28 How many ways can we construct a subset of S of size 7 containing h but neither i nor j...

In how many ways can you rearrange the letters A, B, C, D, E?

Consider the relation R= {A, B, C, D, E, F, G, H} and the set of...

Consider the relation R= {A, B, C, D, E, F, G, H} and the set of functional dependencies: FD= {{B}—> {A}, {G}—> {D, H}, {C, H}—> {E}, {B, D}—> {F}, {D}—>{C}, {C}—> {G}} 1) Draw FD using the diagrammatic notation. 2) What are all candidate keys for R? 3) If delete {C}—>{G} and change {C, H}—> {E} to {C, H}—> {E, G}, what are all candidate keys for R

How many ways are there to arrange the letters ‘a’, ‘b’, ‘c’, ‘d’, and ‘e’ such...

How many ways are there to arrange the letters ‘a’, ‘b’, ‘c’, ‘d’, and ‘e’ such that ‘a’ is not immediately followed by ‘e’ (no repeats since it is an arrangement)? Justify your answer using the product rule, the sum rule, and/or the subtraction rule .

Please fill in the blanks (values of A, B, C, D, E, F, G, H, I...

Please fill in the blanks (values of A, B, C, D, E, F, G, H, I , J) for the following financial statements. The firm’s tax rate is 35.3%. Income Statement for Fiscal Year 2015 Sales 2,000 Cost of goods sold 1,500 Gross margin 500 Selling and general expenses 300 Operating income 200 Interest income 5 205 Interest expense 21 Restructuring charges 14 Income before tax 170 Income tax 60 Net income J Balance Sheet, Year 2014 and Year 2015...

1. a. How many permutations are there of the letters {A,B,C,D,E,F}? Of there, how many are...

1. a. How many permutations are there of the letters {A,B,C,D,E,F}? Of there, how many are even? b. Express the permutation BAFEDC in P6 in cycle notation and determine whether it is even or odd. c. Determine the composition BAFEDC*BCAFDE in P6. Is the composition even or odd? d. What is the members of P6 whose cycle notation (1345)(26)?

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