Question

A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the school in how many different ways can these teachers be selected if the order of selection does not matter

Answer 1

we are given that

A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the schoo. The order of selection does not matter.

As we know

6 teacheras can be selected out of 30 teacher in
`{30}_C_6` ways.

`{30}_C_6=(30!)/(6!24!)\\ \\  {30}_C_6=(25*26*27*28*29*30)/(1*2*3*4*5*6)\\ \\  {30}_C_6=593775`

Hence the required number of ways is 593775.