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?
TOPIC:Permutation and Combination.
1. There are five chairs in a row. How many different ways can you seat two...
(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?
All parts please and explain 2. (a) In how many ways can 4 boys and 4 girls sit in a row? (b) In how many ways can 4 boys and 4 girls sit in a row if the boys and the girls are each to sit together? (c) In how many ways if only the boys must sit together? (d) In how many ways if no two people of the same gender are allowed to sit together?
Question 17 3 pts In how many different ways can we seat three people with five different chairs? O <=50 between 76 and 100 between 51 and 75 O > 500 O between 251 and 500 between 101 and 250
In how many ways can three couples be seated in a row so that each couple sits stogether (namely next to each other): • in a row, 48 48 • in a circle? ? Hint (1 of 1): As in the general comment, recall that rotations matter. It may be useful to imagine a round table with 6 chairs, and a single mark on the table, between two specific chairs. Observe that for some configurations of the 6 people, the...
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...
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...
In how many ways can three couples be seated in a row so that each couple sits together (namely next to each other) in a circle ? Hint : As in the general comment, recall that rotations matter. It may be useful to imagine a round table with 6 chairs, and a single mark on the table, between two specific chairs. Observe that for some configurations of the 6 people, the mark is between two different couples, denoting the mark...
how many different ways can 9 students sit in 5 different chairs? enter an integer with no decimal part
In how many ways can 4 girls and 2 boys be arranged in a row, such that all 2 boys are not sitting together?
3). In how many ways can 6 students be seated in a row of 6 chairs if Jack insists on sitting in the first chair? 4). A president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how many ways could the three officers can be chosen? 5). In how many ways can 7 books be chosen from a group of nine? 9). Suppose that a department contain 13 men and 15 women....