Question 9 (Show your solutions) In how many ways can 6 books be arranged on a shelf if: a.) any arrangement is possible? b.) 3 particular books must always stand together? c.) two particular books must not follow each other? (upload your solution) Use the editor to format your answer

Q: 4. Angle AOB measures 75 degrees, find the measures of arc BA and angle BCA. 5. Using the same…

A: Given query is to find the measure of indicated angle and arc.

Q: A group of four students studying for a bar exam has formed a study group. Each member of the group…

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Q: te are members, and 10% of the members participate in the survey. What is the obability that the…

A: Here Given  Probability of viewers are site members =P(M)=0.3 Probability that MEMBER is…

Q: There are three places P, Q and R such that 3 roads connect P and Q and 4 roads connects Q and R. In…

A: Hi there! Thanks for posting the question. Since there are two different questions, we have solved…

Q: A lock code requires 3 digits followed by 2 letter(s). How many different lock codes are possible?…

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Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

A: We have to find the number of two digit numbers.

Q: In how ways can the letters in the word WISDOM be arranged such that the ending letter is a vowel?

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Q: 9. How many triangles are formed from three sticks with lengths 32, 21, and 11 inches? А. 0 В. 1 С.…

A: The solution of the problem is given in the next step.

Q: 1 On a circle, there are 5 points selected. How many triangles are determined by these points?

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  here we can use combination

Q: In how many ways can the letters in "MATH IS FUN" be arranged if the first and last letter must be…

A: As per by bartleby guideline if more than one question is asked only first question to be answered…

Q: 2.) What about the next shape in this pattern? Write a conjecture that describes the pattern. AHALA:

A: We have to find pattern

Q: 1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A triangle has sides 21…

A: We will find the answers to the parts 1,2 and 7 as following .

Q: (44) How many linear extensions does the following poset have? Fig. 16.7 How many linear extensions…

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Q: 1. Ten points are randomly placed on a circle. In how many different ways can you form each…

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Q: b) A website requires a password that consist of 6 alphabets and 6 digits. Find the number of…

A: A website requires a password that consist of 6 alphabets and 6 digits. There are totally 26 letters…

Q: How many triangles are formed by drawing all the diagonals from a single vertex?

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Q: In the figure, four congruent isosceles triangular tiles are placed equidistant from a central…

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Q: The digits 0, 1, 2, 3, 4, 5, 6 and 7 are used to make 4 digit codes. (a) How many unique codes are…

A: As per Bartleby guideline, if more than three subparts are asked only first three to be answered…

Q: How many triangles are determined by 8 points, no three of which are collinear? WITH ILLUSTRATION

A: 56 triangles.

Q: Exercise 3 o 3 women, 2 children, and 2 men want to make a ring by giving hands of each other.…

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Q: 1. Consider arranging flags along the length of a flagpole. Rectangular flags come in six different…

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Q: | 1. We have learned four triangle congruence postulates (SSS, SAS, AAS, ASA). Explain why AAA is…

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Q: How many non overlapping triangles we make in a can polygon having n sides, by joining the vertices.…

A: We have to find how many non overlapping triangles we can make in polygonal having sides n, by…

Q: Can you please answer the question all of them (a,b,c,d) since It's all one qustion. Please show…

A: given that company charge flat fee $20. you total bill came $72.50.

Q: A group of five students studying for a bar exam has formed a study group. Each member of the group…

A: Permutation:   A permutation is an arrangement of objects in a definite order.   Let n is the total…

Q: Suppose we add a third geon, geon C. Again, each geon comes in 20 varieties and 5 sizes. we'll start…

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Q: The Sierpinski triangle is a fractal created from an equilateral triangle. At each stage, the…

A: This question can be solved suing the concept of geometric progression.

Q: Because MON are collinear how many degrees does that measure?

A: Three or more points are said to be collinear if they lie on the same line. So basically collinear…

Q: Prove that the sum of the interior angles of a convex n-gon is (n-2)-180°. (A convex n-gon is a…

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Q: a) How many ways are there to do this?

A: nCr=n!r!(n-r)!

Q: The letters of the word NATURE are permuted and the words so formed are Example 22. arranged as in a…

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Q: ttees of 4 men can be formed from a group of 10 Hiet 5. How many 13 boys and 11 girls? 5. How of 5…

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Q: 1. Ten points are randomly placed on a circle. In how many different ways can you form each…

A: We know that to form a quadrilateral we need 4 pointsIn that case we can select any 4 points out of…

Q: Twelve jewels of different color will be arranged to form a clock. Find the number of possibilities.

A: We have given 12 of different color and we have to make arrangements.

Q: Sketch a 4-dimensional triangle (also known as a simplex), unfolded into three dimensions.  How many…

A: A 4-D triangle is made by taking 5 3-D triangles and connecting them together .

Q: In the figure, four congruent isosceles triangular tiles are placed equidistant from a central…

A: Lines of symmetry :- If there is a line, l, such that the reflection through l of each point of the…

Q: Consider the letters in the word COMPUTER. a) In how many ways can these letters be arranged in a…

A: Permutations and combination are 2 methods in mathematics. Combination is used to calculated the…

Q: You have one pile of 11 building blocks, each one a different color, and you also have another pile…

A: Since the color at each level of the tower matter, we will use permutations to find the possible…

Q: If all three perpendicular bisectors are drawn in the triangle below, where will they intersect? O…

A: The point at which all three perpendicular bisector of sides of a triangle meet is called…

Q: 6. How many triangles are there with vertices from the points shown below? Note, we are not allowing…

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Q: 5. Solve for the # of distinct permutations on this word -> Philippines

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 2. Ten points are randomly placed on a circle. In how many different ways can you form each…

A: Given, there are 10 points in a circle.  We need the number of ways in which we can form : a.…

Q: 5. A married couple wishes to have four children. How many possible arrangement of children can be…

A: 5. It is given that a married couple wishes to have four children.

Q: Consider the elements A 1 and B= from SL(2, R). Find IAI, \BI, and IABỊ. Does your answer surprise…

A: A=0-110 & B=01-1-1 Now, AB=0-11001-1-1=00+-1-101+-1-110+0-111+0-1=1101

Q: 1) There are 8 essay questions in an exam. Students are required to answer only 2 of them. In how…

A: No. Of ways = 8C2  = 8!/(2! 6!)  = 8x7/2  = 4x7  = 28

Q: Color list 1 Red 2 Yellow 3 White 4 Black 5 Orange. Each floor of the 4-storey building will be…

A: There are 5 colors and 4 layers.   We can paint the first layer in 5 ways.  When the first layer is…

Q: 1. Assuming that any skirt can be paired with any blouse, in how many ways can Anna select her…

A: Here close friend invited Anna to her birthday party. Anna has 4 new blouses (stripes, with ruffles,…