o How many ways six persons can stand in a line such that two specific persons do not stand close to each other?
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- 8. How many ways are there for four men and seven women to stand in a line so that (a) All men stand together and all women stand together? (b) All men stand together? (c) All women stand together? (d) All men stand together or all women stand together?How many ways can A, B, C, D, and E stand in a line if C and D must stand next to each other?There are 53 students. Of these, 25 are taking Business, 26 are taking English, and 25 are taking Math. 14 are taking both Business and Math, 13 are taking Math and English, and 17 are taking Business and English. 12 students are taking none of these three classes. How many students are taking Business but are not taking Math?
- alow.P many ways can they sit in a row if the boys and girls are each to sit together? (c) In how many ways can they sit in a row if just the girls are to sit together? 5. How many different signals, each consisting of 6 flags hung in a vertical line, can be formed from 4 identical red flags and 2 identical blue flags? In how many ways can a committee consisting of 3 men and 2 women be chosen from 7men and 5 women? alactod each vear from college to attend the National Student3: At a Chinese restaurant, dinner for 8 people consists of 3 items from column A, 4 items from column B and 3 items from column C. If columns A, B and C have 5, 7 and 6 items respectively how many different dinner combinations are possible?how many ways to are there for eight men and ten women to stand in a line so that there would be exactly two women followed by at least one man?
- In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of nine seats if the admirals sit at each end and the generals are to sit together?b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind each other. In how many different ways can they be waiting if the black car and only the black car is between the white and yellow cars?There are 40 men in class. 29 of them have no facial hair (i.e. neither a beard nor a mustache). If 7 of the men have beards and 9 of the men have mustaches, how many of the men in the class have both a beard and a mustache? O A. 2 В. 4 O c. 5 D. 7 ОЕ. 16