Answer:
Total possible ways to select 6 teachers from 34 teacher are [tex]^{34}C_6=1344904[/tex].
Step-by-step explanation:
It is given that total number of teachers at a school is 34.
The school director must randomly select 6 teachers to part in a training session.
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Where, n is total possible outcomes and r is number of selected outcomes.
Total teachers = 34
Selected teachers =6
Total number of possible ways to select 6 teachers from 34 teacher is
[tex]^{34}C_6=\frac{34!}{6!(34-6)!}[/tex]
[tex]^{34}C_6=\frac{34\times 33\times 32\times 31\times 29\times 28!}{6!(28)!}[/tex]
[tex]^{34}C_6=1344904[/tex]
Therefore total possible ways to select 6 teachers from 34 teacher are [tex]^{34}C_6=1344904[/tex].
