contestada

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

Respuesta :

apocritia

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 [tex] {30}_C_6 [/tex] ways.

[tex] {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 [/tex]

Hence the required number of ways is 593775.

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