Font \( \mid \underline{y} \) Paragraph |s Styles DA?IE: SUBJECT: MATHEWATICS 10 SCORE: DIRECTION: Read and understand each item, then choose the letter of your answer and write it on your answer sheet. 1. Find the number of permutations of 14 objects taken 3 at a time. A. 2002 B. 2184 C. 364 D. 728 2. Jennie has homework in Math, Art, English, Science, and TLE but she cannot decide in which order to attack these subjects. How many different orders are possible? A. 5 ! B. 4 ! C. 25 D. 10 3. In how many ways can Willie Revillame award Php 50,000 each to 3 people chosen from the \( n \) viewers in his show? A. \( n ! / 3 !(n-3) ! \) B. \( \mathrm{n} ! / 3 \) ! C. \( n ! /(n-3) ! \) D. \( \mathrm{nl} / 3 \) 4. Evaluate \( { }_{7} \mathrm{P}_{4} \). A. 210 B. 840 C. 35 D. 28 5. Evaluate \( { }_{7} \mathrm{C}_{4} \). A. 28 B. 35 C. 210 D. 840 6. Which of the following situations involves combinations? A. A refrigerator, a TV, and a stand fan are to be awarded in a raffle draw. B. Parents elect president, vice-president, secretary, treasurer, and auditor for PTA. C. A librarian arranges books in a shelf. D. An SK chairman appoints 3 SK kagawads to buy school supplies. 7. During the pandemic, people are practicing physical distancing. A group of friends meet up at a restaurant. They greeted each other with a fist bump. If 21 fist bumps took place, how many frienc \( { }^{+} \)were present? A. 5 B. 6 C. 7 D. 8 8. Which of the following tasks involves permutations? A. Awarding 3 equal scholarships. C. Choosing 4 beaches to visit B. Picking up 6 numbers for a lottery D. Arranging 7 books in a shelf 9. Evaluate and simplify: \( 5 \mathrm{C}_{5}+{ }_{5} \mathrm{C}_{4}+{ }_{5} \mathrm{C}_{3}+{ }_{5} \mathrm{C}_{2}+{ }_{5} \mathrm{C}_{1} \) A. 31 B. 32 C. 22 D. 51 10. A gymnasium has 9 doors. In how many ways can you enter and leave English (United States) Text Predictions: On Accessibility: Investigate
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The number of permutations of 14 objects taken 3 at a time is calculated by 14P3 = 14! / (14-3)! = 14*13*12 = 2184. So, the answer is B. 2184. Show more…
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