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

Solution:

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.

${30}_C_6=\frac{30!}{6!24!}\\ \\ {30}_C_6=\frac{25*26*27*28*29*30}{1*2*3*4*5*6}\\ \\ {30}_C_6=593775$

Hence the required number of ways is 593775.