Question

Six bananas will be selected from a group of 13. in how many ways can this be done?

Answer 1

Remember that x! means times x ad all numbers below to 1

nCr
combiniations

out of n things, how many ways are there to choose r of them
nCr=$\frac{n!}{r!(n-r)!}$

13 things choose 6

13C6=$\frac{13!}{6!(13-6)!}$=
$\frac{13!}{6!(7)!}$=
$\frac{13*12*11*10*9*8}{6!}$=
$\frac{13*12*11*10*9*8}{6*5*4*3*2*1}$=
$\frac{13*2*11*2*3}{1}$=
1716 ways