Solve the following problems using Polya's approach.

1. A family has seven children. If we list all the possible genders of the children (for example

bbggbgg, where b is a boy and g is a girl), how many lists are possible?

2. Miya and Layla bought the same item. Miya said she paid 20% less than the list price. Layla said

that if she had paid 25% more for the item, she would have paid the list price. Who paid the least?

3.A hunter left camp and walked five miles south and two miles east. He shot a bear and

walked five miles back to camp. What is the color of the bear?