FYBCOM SEM II SEC INTERNAL ASSIGNMENT SECTION I (Q.1-10) In each of the following select the one which is different from the other three responses. 1. a) Electrician b) Pediatrician c) Oncologist d) Cardiologist 2. a) 13, 169 b) 17, 269 c) 14, 196 d) 16, 256 3. a) 88 b) 97 c) 132 d) 121 4. a) Circle b) Square c) Triangle d) Cylinder 5. a) Curd b)Butter c) Oil d) Cheese 6. A) Gold: Ornaments B) Cloth: Garments C) Leather: Footwear D) Earthen pots: Clay 7. A) 325 B) 236 C) 178 D) 639 8. A) 1 – 0 B) 3 – 8 C) 6- 35 D) 7 – 50 9. A) 42- 4 B) 36- 6 C) 32 – 2 D) 5 - 5 10. A) 385 B) 572 C) 671 D) 427 11. If MADRAS can be written as NBESBT, how can BOMBAY be written in that code ? 12.If HAT is coded as 'jcv' then what will GUN be coded as? 13. If train is called bus, bus is called tractor, tractor is called car, car is called scooter, scooter is called bicycle, bicycle is called moped, which is used to plough a field ? 14. In a certain code language, '134' means 'good and tasty'; '478' means 'see good pictures' and '729' means 'pictures are faint'. Which digit stands for 'see'? 15. If Z = 52 and ACT = 48, then BAT will be equal to? 16. In a certain code language, ‘pit na som’ means ‘bring me water’; ‘na jo tod’ means ‘water is life’; ‘tub od pit’ means 'give me toy’; ‘jo lin kot’ means ‘life and death’. What is the code for 'is' in that language ? 17. If sand is called air, air is called plateau, plateau is called well, well is called island and island is called sky, then from where will a woman draw water? 18. If PALE is coded as 2134, EARTH is coded as 41590, how is PEARL coded in that code? 19. In a certain code, COMPUTER is written as RFUVQNPC. How is MEDICINE written in the same code? 20. In a certain coding language, if GO = 32 & SHE = 49 then SOME will be equal to ? SECTION II A. Calculate the value of the following: 1) 8 P 5 2) 7 P 0 3) 5 P 5 4) 4 P 5 5) 4 P 4 6) 3 P 1 7) 19 P 2 8) 8 C 5 9) 7 C 0 10) 5 C 5 11) 4 C 5 12) 4 C 4 13) 3 C 1 14) 19 C 2 15) 9 C 3 B. Solve the following problems using permutations and combinations: 1. From a group of 10 students, how many ways can you select 4 to form a study team? 2. A deck has 52 cards. How many ways can you select 5 cards? 3. Out of 12 different flowers, how many ways can you pick a bouquet of 3 flowers? 4. In a class of 8 students, how many ways can 2 students be selected for a project? 5. A company needs to form a 6-member team from 14 employees. How many combinations are possible? 6. How many ways can you choose and arrange 2 out of 6 different fruits in a basket? 7. In how many ways can 5 people be arranged in a row if only 3 seats are available? 8. A library has 7 different books, and 4 of them need to be arranged on a shelf. How many arrangements are possible? 9. A race has 10 participants, and only the top 3 will receive prizes in order of finishing. How many ways can the prizes be awarded? 10. How many ways can 5 unique gift cards be distributed to 3 people? 11. You can choose to wear a kurta or a t-shirt. Additionally, you can pair either with jeans, trousers, or a dhoti. How many total outfits can you choose? 12. A class has 8 girls and 7 boys. If 5 persons are to be selected, find the total number of choices if: i) There is no restriction on gender. ii) 2 boys and 3 girls are to be selected. iii) All selected must be girls. 13. In a team of 10 students (6 boys and 4 girls), 4 students are to be chosen. Calculate the number of ways if: i) There is no restriction on gender. ii) Exactly 3 girls and 1 boy must be selected. iii) No boys are selected. 14. A child is shown 12 toys, of which 5 are electronic. He has to select 6 toys. Calculate the number of ways if: i) There is no restriction on selection. ii) Exactly 3 toys must be electronic. 15. Out of 10 books, 4 are on mathematics and 6 are on literature. If a student wants to borrow 5 books, find the number of ways if: i) There is no restriction on selection. ii) The student must borrow exactly 2 mathematics books.