# Question: a department store chain is expanding into a new market...

###### Question details

A department store chain is expanding into a new market, and is considering 16 different sites on which to locate 7 stores. Assuming that each site is equally likely to be chosen, in how many ways can the sites for the new stores be selected?

a) 23

b) 11,440

c) 128

d) 112

e) 57,657,600

f) None of the above.

How many ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row?

a) 1,814,400

b) 18

c) 80

d) 45

e) 3,628,800

f) None of the above.

Suzy randomly picks marbles from a bag containing 13 identical marbles. How many possible outcomes are there if she selects 8 marbles?

a) 1,247

b) 51,891,840

c) 1,287

d) 1,267

e) 1,277

f) None of the above.

How many ways can a president, a vice-president and a secretary be chosen from 11 members of a club assuming that one person cannot hold more than one position?

a) 1,020

b) 990

c) 980

d) 145

e) 165

f) None of the above.