answer #1 #4 #8 only Choose the letter of your answer below.g.604 800p.35120d.f.11Z.a.h.1118840758 880252042porlongo7715n.batq.132b.f.28C.m.3y.800j.250203, 212, 80031536V1-1.658 008S1.6.10W. TES.i.k.e.128.343364829184x1013525y1-151 2003.18231Z1.1. 55W1.144250 822 656 0001652048151 2006.d1.2.67.h1.13Z3.7202.C1.1310241466135015Pi-7209.4 838 40055X3.bj.360kj.360 0004.91-ej.1 307 674 368 000210204811 7601t3.1.390560804864x10'666f3.15.36r3.P3.03.35gi.30W3.8.21451210n3V3.h3.12U3.5525g3.78 960 960Уз.147m3. 6316S3.531q3.294014 0003.u.v.f1.01.23140406 425 6001) TVtoWord Problems: Answer only the 15 items assigned to you.can pass through the same road twice?2. Eight boys and seven girls are to be seated in a row. In how many ways can they be seated if theey seat alternately?3.In now many ways can 12 math books, 8 science books and 6 novels be arranged if books of the same nature areplaced together in a book shelf?4.A basket contains 5 red balls, 6 green balls, 4 white balls, and 3 blue balls. In how many ways can 12 balls bechosen if there are to be 3 balls of each color?5. In how many ways can a class of 40 students elect a president, a vice president, a secretary, a treasurer and a publicrelations officer if all students are qualified to run for any positions?6. There are 15 contestants in a declamation contest, In how many possible sequences can the contestants deliver theirpiece?7. How many ways can the numbers 2, 3, 4, 5, 6, 7, 8, 9, 10 be arranged in a row if any two of the prime numbers arenot placed next to each other?8. Seven marbles are chosen from 10 marbles of different colors. They are lined up into two lines in which the firstline has 2 marbles and the second line has 5 marbles. In how many ways can this be done?9. Six cars are in the car park of a shopping arcade. Find the number of ways to park the cars if there are 10 parkingE) Aspaces.10. Consider the word "PERMIT". Four different letters are taken from it and arranged in a row. How many of thembegin with two vowels?11. A committee of 5 members is formed from 6 men and 7 women. Find the number of ways to form the committee ifthere are more men than women.12. A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we select 4 balls such thatnone is blue?13. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be formed?14. A box of Donuts contains 8 honey dipped, 6 bavarians, and 7 chocolate filled donuts. How many ways can 5donuts be selected to meet each condition?15. In a social dance course, there are 6 boys and 6 girls. Jack and Joe are two of them. If a boy is paired with a girlfor dancing, how many possible arrangements are there?16. In a school sports day, every student has to participate in at least one but more than three events out of 20. In howmany different combinations of events can a student participate in?17. Four applicants (A, B, C, D) applied for a post in the sales department. If only two of them will be employed, findthe number of possible combinations of successful applicants.18. Lyle has a choice of entering the gymnasium from 8 entrances and leaving from 5 exits. In how many ways canLyle enter and leave the gymnasium?19. Paulo has ten posters to post in his room but there is space for only 6 posters. In how many ways can Paulo choosethe posters to be posted?20. There are eight physics books, six English books and five world history books in shelf. In how many ways canMarkus select four physics books, three English books and 3 world history books?21. In how many ways 5 persons be seated in a row if there are six chairs and one person insist on sitting on the lastchair.22. Mr. Roderick Lindayag is a Math teacher who has 7 Algebra books, 5 Geometry books, 6 Trigonometry books an4 Statistics books. In how many ways can he arrange the books if books of the same field are to be together?

Question

answer #1 #4 #8 only Choose the letter of your answer below.g.604 800p.35120d.f.11Z.a.h.1118840758 880252042porlongo7715n.batq.132b.f.28C.m.3y.800j.250203, 212, 80031536V1-1.658 008S1.6.10W. TES.i.k.e.128.343364829184x1013525y1-151 2003.18231Z1.1. 55W1.144250 822 656 0001652048151 2006.d1.2.67.h1.13Z3.7202.C1.1310241466135015Pi-7209.4 838 40055X3.bj.360kj.360 0004.91-ej.1 307 674 368 000210204811 7601t3.1.390560804864x10'666f3.15.36r3.P3.03.35gi.30W3.8.21451210n3V3.h3.12U3.5525g3.78 960 960Уз.147m3. 6316S3.531q3.294014 0003.u.v.f1.01.23140406 425 6001) TVtoWord Problems: Answer only the 15 items assigned to you.can pass through the same road twice?2. Eight boys and seven girls are to be seated in a row. In how many ways can they be seated if theey seat alternately?3.In now many ways can 12 math books, 8 science books and 6 novels be arranged if books of the same nature areplaced together in a book shelf?4.A basket contains 5 red balls, 6 green balls, 4 white balls, and 3 blue balls. In how many ways can 12 balls bechosen if there are to be 3 balls of each color?5. In how many ways can a class of 40 students elect a president, a vice president, a secretary, a treasurer and a publicrelations officer if all students are qualified to run for any positions?6. There are 15 contestants in a declamation contest, In how many possible sequences can the contestants deliver theirpiece?7. How many ways can the numbers 2, 3, 4, 5, 6, 7, 8, 9, 10 be arranged in a row if any two of the prime numbers arenot placed next to each other?8. Seven marbles are chosen from 10 marbles of different colors. They are lined up into two lines in which the firstline has 2 marbles and the second line has 5 marbles. In how many ways can this be done?9. Six cars are in the car park of a shopping arcade. Find the number of ways to park the cars if there are 10 parkingE) Aspaces.10. Consider the word &#34;PERMIT&#34;. Four different letters are taken from it and arranged in a row. How many of thembegin with two vowels?11. A committee of 5 members is formed from 6 men and 7 women. Find the number of ways to form the committee ifthere are more men than women.12. A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we select 4 balls such thatnone is blue?13. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be formed?14. A box of Donuts contains 8 honey dipped, 6 bavarians, and 7 chocolate filled donuts. How many ways can 5donuts be selected to meet each condition?15. In a social dance course, there are 6 boys and 6 girls. Jack and Joe are two of them. If a boy is paired with a girlfor dancing, how many possible arrangements are there?16. In a school sports day, every student has to participate in at least one but more than three events out of 20. In howmany different combinations of events can a student participate in?17. Four applicants (A, B, C, D) applied for a post in the sales department. If only two of them will be employed, findthe number of possible combinations of successful applicants.18. Lyle has a choice of entering the gymnasium from 8 entrances and leaving from 5 exits. In how many ways canLyle enter and leave the gymnasium?19. Paulo has ten posters to post in his room but there is space for only 6 posters. In how many ways can Paulo choosethe posters to be posted?20. There are eight physics books, six English books and five world history books in shelf. In how many ways canMarkus select four physics books, three English books and 3 world history books?21. In how many ways 5 persons be seated in a row if there are six chairs and one person insist on sitting on the lastchair.22. Mr. Roderick Lindayag is a Math teacher who has 7 Algebra books, 5 Geometry books, 6 Trigonometry books an4 Statistics books. In how many ways can he arrange the books if books of the same field are to be together?

Accepted Answer

here use concept of total arrangement and combination

There are 12 roads connecting 2 cities. In how many ways can Caloy drive from 1 city to another and be back in he can pass through the same road twice? dif they seat alternately?