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Class - 14 (Mixed problem on permutation and combination - 7)
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Class - 14 (Mixed problem on permutation and combination - 7)

## Bharat Gupta is teaching live on Unacademy Plus

U
Jk
thank u so much mam👍👍👍
I would request you to add the remaining lessons. Your lectures are amazing!
sir in the last question , you have taken the case where both the word starts with p and end with m. but in the question it is asked that begin with p or end with m so do we also have to include the case when it starts with p and also end with ?
NILOY CHAKRABORTY
5 months ago
The question is asked to finds the words which starts to with p and ends with m . Here in the first step, we calculate the words only starts with p and in the second step we calculate the words which ends with m . Now , there are some words which starts p and ends m . and when we add both the ceses we consider them twice that's why we need to substart the common words which starts with p and ends with m . and that is why we have to calculate the no of words which starts with p and ends with m .
AT
Sir, in second question, it is not mentioned the students are to form two equal row. There could be (10,0) (9,1) (8,2) (7,3) ... combinations
1. COMBINATION Permutation and combination mixed Problem part- 7 Follow Upvote

2. Problem for this lesson Two straight lines intersect at a point O. points Ay, A2, Ag, A4, Aare taken on one line and points B, B2, B3, B. B on the other. If the point O is not included, the number of triangles that can be drawn using these points as vertices, is: c.C, + C,-C,-C, d' None of these 10 students are to be seated in two rows for an Exam. There are two sets of papers, code A and Code B. Each of the two rows can have only one set of paper but different from the other row. In how many ways these students can be arranged? a. 2775600 b. 1200560 c. 125600 d. 7257600 Using all letters of the word 'PROBLEM', how many seven letters words can be formed such that they begin with P or end with M? a. 720 b. 1440 c. 1320 d. 1280

3. Preparing for CAT 2019 Beginner Course for Quant for CAT 2019 (+ Bonus Practice Quizzes) Bharat Gupta 16k followers In this Course, Bharat Gupta will be explaining Quantitative aptitude which is the backbone of every competitive exam. It is necessary to learn and understand every aspect of it. In this course Bharat Gupta will teach basic to advanced level of Quantitative aptitude. You will also get all shortcut tips and tricks to tackle a quant question along with option approach. This one course prepares you for all exams like CAT, OMET, SSC, BANK, CDS etc. The course will be conducted in English and the notes will also be provided in English. unacademy 24th January to 14th June 2019 About this course 60 hours of lve classes This course will include 60 sessions of 60 mins each. It will be taught from the basic to advance level required to clear CAT and other competitive Exams. Course includes more than 5000+ practice questions and Previous year questions to command the subject. The course will include the modules Arithmetic, Numbers, Algebra, Geometry, Mensuration, Modern Maths etc. All the concepts will be covered along with the shortcut approach for solving questions. All the doubts and queries will be resolved in real time Private Discussion Forum v' Doubt clearing sessions and Live quizzes

4. Two straight lines intersect at a point O. points A1, A2, , A4, A5, Ap are taken on one line and points B1, B2, B3, Ba Bqon the other. If the point O is not included, the number of triangles that can be drawn using these points as vertices, is: b.P+C3 c. d. None of these

5. Two straight lines intersect at a point O. points A1, A2, , A4, A5, Ap are taken on one line and points B1, B2, B3, Ba Bqon the other. If the point O is not included, the number of triangles that can be drawn using these points as vertices, is: b.P+C3 c. d. None of these A,A,4,0

6. Two straight lines intersect at a point O. points Au A2, A3, Aa, A... Ap are taken on one line and points B1, B2, B3, Ba Bqon the other. If the point O is not included, the number of triangles that can be drawn using these points as vertices, is: b.P+C3 c. d. None of these 0

7. Two straight lines intersect at a point O. points A, A2, A3, Au A. Ap are taken on one line and points B1, B2, B3, Ba Bqon the other. If the point O is not included, the number of triangles that can be drawn using these points as vertices, is: a.P+C3 - PC3-C3 d. None of these 0

8. Two straight lines intersect at a point O. points A1, A2, , A4,A5, A, are taken on one line and points B, B2, B3, B Bgon the other. If the point O is not included, the number of triangles that can be drawn using these points as vertices, is: p+q d. None of these c Numhe 3

9. 10 students are to be seated in two rows for an Exam. There are two sets of papers, code A and Code B. Each of the two rows can have only one set of paper but different from the other row. In how many ways these students can be arranged? a. 2775600 c. 125600 b. 1200560 d. 7257600

10. 10 students are to be seated in two rows for an Exam. There are two sets of papers, code A and Code B. Each of the two rows can have only one set of paper but different from the other row. In how many ways these students can be arranged? a. 2775600 c. 125600 b. 1200560 d. 7257600 lo

11. 10 students are to be seated in two rows for an Exam. There are two sets of papers, code A and Code B. Each of the two rows can have only one set of paper but different from the other row. In how many ways these students can be arranged? a. 2775600 c. 125600 b. 1200560 d. 7257600 lo

12. 10 students are to be seated in two rows for an Exam. There are two sets of papers, code A and Code B. Each of the two rows can have only one set of paper but different from the other row. In how many ways these students can be arranged? a. 2775600 c. 125600 b. 1200560 d. 7257600 lo

13. Using all letters of the word 'PROBLEM', how many seven letters words can be formed such that they begin with P or end with M? a. 720 b. 1440 c. 1320 d. 1280

14. Using all letters of the word PROBLEM, how many seven letters words can be formed such that they begin with P or end with M? a. 720 b. 1440 c. 1320 d. 1280 wor

15. Using all letters of the word PROBLEM, how many seven letters words can be formed such that they begin with P or end with M? a. 720 b. 1440 c. 1320 d. 1280

16. Preparing for CAT 2019 Beginner Course for Quant for CAT 2019 (+ Bonus Practice Quizzes) Bharat Gupta 16k followers In this Course, Bharat Gupta will be explaining Quantitative aptitude which is the backbone of every competitive exam. It is necessary to learn and understand every aspect of it. In this course Bharat Gupta will teach basic to advanced level of Quantitative aptitude. You will also get all shortcut tips and tricks to tackle a quant question along with option approach. This one course prepares you for all exams like CAT, OMET, SSC, BANK, CDS etc. The course will be conducted in English and the notes will also be provided in English. unacademy 24th January to 14th June 2019 About this course 60 hours of lve classes This course will include 60 sessions of 60 mins each. It will be taught from the basic to advance level required to clear CAT and other competitive Exams. Course includes more than 5000+ practice questions and Previous year questions to command the subject. The course will include the modules Arithmetic, Numbers, Algebra, Geometry, Mensuration, Modern Maths etc. All the concepts will be covered along with the shortcut approach for solving questions. All the doubts and queries will be resolved in real time Private Discussion Forum v' Doubt clearing sessions and Live quizzes