Question

The chess club has 18 students. How many different teams of 4 can be formed for competition?
3,060
18,360
73,440

Answer 1

would it be 73440

Answer 2

That would be the correct answer if order mattered. However, I don't think order matters.

Answer 3

then wht do u think

Answer 4

?

Answer 5

Use the combination formula

n C r = (n!)/(r!(n-r)!)

instead of the permutation formula

Answer 6

idk

Answer 7

n C r = (n!)/(r!(n-r)!)


18 C 4 = (18!)/(4!*(18-4)!)


18 C 4 = (18!)/(4!*14!)


18 C 4 = (18*17*16*15*14!)/(4!*14!)


18 C 4 = (18*17*16*15)/(4!)


18 C 4 = (18*17*16*15)/(4*3*2*1)


18 C 4 = (73440)/(24)


18 C 4 = 3060


So there are 3060 different teams