Abook club has 10 members.how many ways can they choose a president, vice president, and secretary from among the members?

        A.
30

B.
120

C.
720

D.
100                                                                                                                                                                                                                                                                720 possible combinations if each post is held by one person.
90 possible combinations if one person can have two positions.
10 possible combinations if one person can hold all three.

Step-by-step explanation:

Since each town he has allows him to create 1.13 times as many villagers as he had in the one before.

The population of the next village will be a multiplication of the population of the previous village by 1.13.

This forms a sequence in which the next term is obtained by multiplication of the previous term by a constant. This type of sequence us called a Geometric Sequence and the constant is called the Common ratio.

For any number of terms, the nth term of a Geometric Progression is determined using the formula:

Where a= First Term

r= common ratio

n= number of terms

The game gave Chase 4 villagers to start with.

Therefore, his first term a=4

The common ratio, r= 1.13

To predict the number of villagers in any specific town, we use the formula:

In the 17th town, i.e. n=17

The number of villagers that can be created will be found by substituting n=17 into the formula above.

Since number of villagers cannot be fractional, the number of villagers he can create to live in the 17th village is 28.