Four friends came to an ice-rink, each with her brother. They broke up into pairs and started skating. It turned out that in each pair the “gentleman” was taller than the “lady” and no one is skating with his sister. The tallest boy in the group was Sam Smith, Peter Potter, then Luisa Potter, Joe Simpson, Laura Simpson, Dan Caldwell, Jane Caldwell and Hannah Smith. Determine who skated with whom.
Using five twos, arithmetic operations and exponentiation, form the numbers from 1 to 26.
Using five threes, arithmetic operations and exponentiation, form the numbers from 1 to 39.
Using five fours, arithmetic operations and exponentiation, form the numbers from 1 to 22.
Using five fives, arithmetic operations and exponentiation, form the numbers from 1 to 17.
Using five sixes, arithmetic operations and exponentiation, form the numbers from 1 to 14.
Using five sevens, arithmetic operations and exponentiation, form the numbers from 1 to 22.
Using five eights, arithmetic operations and exponentiation, form the numbers from 1 to 20.
Using five nines, arithmetic operations and exponentiation, form the numbers from 1 to 13.
In a room, there are three-legged stools and four-legged chairs. When people sat down on all of these seats, there were 39 legs (human and stool/chair legs) in the room. How many stools are there in the room?