The selection of r object out of n, is carried out in C(n, r) many ways,
where [tex]C(n, r)= \frac{n!}{r!(n-r!)} [/tex]
n! meaning 1*2*3*....*(n-1)*n
According to this, the selection of 6 teachers out of 34, can be carried out in C(34, 6) many different ways.
[tex]C(34, 6)= \frac{34!}{6!(34-6!)}=\frac{34!}{6!(28!)}= \frac{34*33*32*31*30*29*28!}{6!28!}= \frac{34*33*32*31*30*29}{6!}[/tex]
[tex]=\frac{34*33*32*31*30*29}{6*5*4*3*2*1}= 34*11*4*31*29=1,344,904[/tex]
