A Rug Manufacturer Has Decided to Use 7 Compatible Colours

A rug manufacturer has decided to use 7 compatible colours in her rugs. However, in weaving a rug,
Only 5 spindles can be used. In advertising, the rug manufacturer wants to indicate the number of
Different colour groupings for sale. How many colour groupings using the seven colours taken five
At a time are there? (This assumes that 5 different colours will go into each rug, i.e., there are no
Repetitions of colour.)

A) 120
B) 2,520
C) 6,740
D) 36