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Few Harder Problems on The Concepts
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Few problems based in factorials and fcp

Srijita Banerjee
B.Tech in Biotechnology\singer\loves teaching\public speaker\peer educator\Bengali

U
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1. COMBINATROICS: FACTORIAL GRE QUANTS SRIJITA BANERJEE https://unacademy.com/user/mampi

2. Twelve points are spaced evenly around a circle, lettered from A to L. Let n be the total number of isosceles triangle including the equilateral triangle, that can be constructed from three of these points. A different orientation of the same length is taken to be a different triangle, because of different combination of points from the vertices. What is the value of n? 9 02

3. Twelve points are spaced evenly around a circle, lettered from A to L. Let n be the total number ofisosceles triangle including the equilateraltriangle, that can be constructed from three of these points. A different orientation of the same length is taken to be a different triangle, because of different combination of points from the vertices. What is the value of n?

4. Twelve points are spaced evenly around a circle, lettered from A to L. Let n be the total number ofisosceles triangle including the equilateraltriangle, that can be constructed from three of these points. A different orientation of the same length is taken to be a different triangle, because of different combination of points from the vertices. What is the value of n? Triangles from vertex A: (ABLI(ACK) (ADJ),(AFH)

5. Twelve points are spaced evenly around a circle, lettered from A to L. Let n be the total number ofisosceles triangle including the equilateraltriangle, that can be constructed from three of these points. A different orientation of the same length is taken to be a different triangle, because of different combination of points from the vertices. What is the value of n? Triangles from vertex A: (ABLI(ACK) (ADJ),(AFH) Similarly for the other 12 vertices as well.

6. Twelve points are spaced evenly around a circle, lettered from A to L. Let n be the total number ofisosceles triangle including the equilateraltriangle, that can be constructed from three of these points. A different orientation of the same length is taken to be a different triangle, because of different combination of points from the vertices. What is the value of n? Triangles from vertex A: (ABLI(ACK) (ADJ),(AFH) Similarly for the other 12 vertices as well. It becomes 12*4 48 *.

7. Twelve points are spaced evenly around a circle, lettered from A to L. Let n be the total number ofisosceles triangle including the equilateraltriangle, that can be constructed from three of these points. A different orientation of the same length is taken to be a different triangle, because of different combination of points from the vertices. What is the value of n? Triangles from vertex A: (ABLI(ACK) (ADJ),(AFH) Similarly for the other 12 vertices as well. * It becomes 12-4-48 Now, when we take the equilateral triangle into consideration, they are (AEI), (BFJ), [CGK), (DHL)

8. Twelve points are spaced evenly around a circle, lettered from A to L. Let n be the total number ofisosceles triangle including the equilateraltriangle, that can be constructed from three of these points. A different orientation of the same length is taken to be a different triangle, because of different combination of points from the vertices. What is the value of n? Triangles from vertex A: (ABLI(ACK) (ADJ),(AFH) Similarly for the other 12 vertices as well. * It becomes 12-4-48 Now, when we take the equilateral triangle into consideration, they are (AEI), (BFJ), [CGK), (DHL) . So, the total becomes: 48+4- 52

9. There are 10 different books out of which 4 of them are on food and cooking. These 4 books are arranged together out of the 10 books. How many different ways can all the books be arranged? 4 books are together between the rest 10. 02

10. There are 10 different books out of which 4 of them are on food and cooking. These 4 books are arranged together out of the 10 books. How many different ways can all the books be arranged? 4 books are together between the rest 10. So, let's consider these 4 four books as one big book. Thus, the total number of books become 7 02