All parts please and explain 2. (a) In how many ways can 4 boys and 4...
(A) In how many ways can 3 boys and 3 girls sit in a row? (B) in how many ways can 3 boys and 3 girls sit in a row if boys must sit together?
4. Consider a chessboard, shown below. At starting at the square al (the lower right hand corner), you can go one step up or one step right at each move. The procedure stops until the point h8 (the upper right corner) is reached. a) How many different paths from al to h8 are possible? (b) How many differnt paths from al to h8 are possible if each path must pass through the square e4? 5. If 10 new teachers are...
There are 10 women and 10 men in movie theater. (a) In how many ways can they sit in a row? (b) In how many ways can they sit in a row if the men and women are each to sit together? (c) In how many ways can only the men sit together? (d) In how many ways can they sit together if no two people of the same sex are allowed to sit together?
please fast and clear
How many ways are there 3 boys, 5 girls and 3 kids can sit in a row if the kids must sit together? Select one: 9! 2! 8!.4! 91.3! 81.3! 11!
In how many ways can 4 girls and 2 boys be arranged in a row, such that all 2 boys are not sitting together?
1. There are five chairs in a row. How many different ways can you seat two girls and three boys if both girls must sit next to each other?
11. Suppose a class of 8 boys and 7 girls are to attend a theatrical performance, and the teacher obtains 15 tickets (one for each student) in a row. How many ways are there to order the students under the following conditions? a The children are randomly assigned seats. b Boys and girls are alternated so that boys sit by girls and girls sit by boys. c All boys sit together, and all girls sit together.
If five teachers and six students (three boys and three girls) are to be seated in a row how many seating arrangements are possible if: a) there are no restrictions? b) students must sit together? c) boys sit together, girls sit together, and teachers sit together? d) boys sit together and girls sit together? e) no two teachers sit together?
1. How many ways can a group of six boys and sik girls be seated in a row of twelve seats if boys and girls must alternate in the row? ways 2. How many ways can 4 different contracts be distributed amongst 15 different firms, if any one firm can be awarded multiple contracts? ays 3. How many four-digit numbers may be formed using elements from the set (1, 2, 3,4, 5,6,7,8,9) if no element may be used more than...
How many ways can 8 people be seated around a circular table if (a)There are 4 men and 4 women, and no 2 men or 2 women can sit next to one another? (b)There are 5 men and they must sit next to each other? (c)There are 4 married couples and each couple must sit together?