Please to help me to slove the following questions
1. 5 balls of different cloours are put into boxes A, B, C, and D. Find the
number of possible arrangements if there are no restrictions on the number
of balls in each box.
2. A train consists of 8 coaches. Find the number of ways that two passengers
enter different coaches.
3. A building has 4 entries. In how many ways can two residents go in the
building with different entries?
4. 4 cou;les attend a party. Find the number of ways to fome 4 pairs of
different sex for dancing if
(a) there are no restrictions
(b) two men do not have their wives as their partners
5. There are 10 distinct points on a corrdinate plane. If no three points are
collinear, find the number of lines that can be drawn by joining these points.
6. There are 8 teachers. May is one of them. A group of 4 teachers is
selected to attend a seminar. In how many ways can the group be formed
if May is included?