10 questions
In a company of 8 some people know each other, some don’t. They know the following number of people: 1, 1, 2, 2, 3, 4, 5, 6. (Acquaintances are mutual.) How many more connections (also mutual) must be made so that everybody will know everybody else?
4
16
32
none of these answers
The graph above shows the matches already played in a chess tournament. How many more matches will be played if everybody has to play against all the other players once?
10
20
5
none of these answers
There are 6 exercises on a maths practice worksheet. You can solve them in any order. In how many different orders can you solve the exercises if you want to solve all of them?
36
360
720
46656
none of these
There are 6 exercises on a maths practice worksheet. You can solve them in any order. In how many different orders can you solve the exercises if you want to solve the two easiest exercises first and then all the rest?
720
48
24
360
none of these
How many 4-digit even integers can be made from the digits 3, 4, 5, 6, 7, 8 if all the digits must be different?
720
360
24
none of these
How many 4-digit even integers can be made from the digits 3, 4, 5, 6, 7, 8 if the digits don't have to be different?
4096
720
360
1296
none of these
There are 15 students in a group, 7 boys and 8 girls. The teacher wants to choose 3 of them to act out a situation. In how many ways can she do this if the gender of the students does not matter?
2730
3375
455
none of these
There are 15 students in a group, 7 boys and 8 girls. The teacher wants to choose 3 of them to act out a situation. In how many ways can she do this if there are two female roles and one male role?
196
448
168
392
none of these
In a group of 18 people everybody shook hands eówith everybody else. How many handshakes were there?
306
162
153
none of these
In a graph of 6 nodes the degrees of the nodes are the following: A(3), B(4), C(1), D(4), E(2). Which could be the degree of F?
1
2
3
5