How many ways are there in which 2 purple stones, 1 yellow stone, 2 orange stones, and 2 red stones can be placed on a 10 x 10 chess board so that no two stones are in the same row and no two stones are in the same column? Please ignore symmetries, so that there are 4 ways of placing a stone on a corner of the chessboard, not 1 way. Show all work and write down the final expression (with explanations) whose value gives the correct answer. You do not have to calculate it numerically.

Q: Find the number of different ways that an instructor can choose 7 students from a class of 16…

A: No. of students in a class for field trip(n)=16No. of students that an instructor can choose(r)=7

Q: Suppose you had 4 red checker pieces and 5 black checker pieces. How many ways can you arrange these…

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Q: if x1  + x2  + x3 +x4  x5 +x6= 82 and xi >= 3  and 1<= i <= 6   find combinations with repetition of…

A: The number of integer solution vectors to the equation  ∑k=1nxk=t , for each xk≥a the number of…

Q: A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities…

A: This is a counting problem, and we will solve this using the concept of permutations.

Q: Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

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Q: A(1,-3),B(1,1),C(5,1),D(5,-3) translation of 3 units left and 5 units up.

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Q: A toy company is going to issue new ID codes to its employees. Each code will have one letter…

A: given data , a toy company is going to issue new ID codes to its employees. each code will have one…

Q: Find the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

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Q: selected from a group of 11 Republicans and for Democrats. Find the number of ways of obtaining a…

A: Given that   Committee consists of members (r) = 7 Committee need to be selected from group of 11…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

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Q: How many ways can the 9 drummers of a marching band be split into 2 rows of 6 and 3 if order within…

A: Given, There are 9 drummers We have to split into 2 rows of 6 and 3 So,

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

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Q: Find the number of different ways that an instructor can choose 7 students from a class of 12…

A: Here we have to find the number of different ways that an instructor can choose 7 students from a…