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Nat2105 [25]
3 years ago
13

A school director must randomly select 6 teachers to part in a training session. There are 34 teachers at school. In how many di

fferent ways can these teachers be selected, if the order of selection does not matter.
Mathematics
1 answer:
prohojiy [21]3 years ago
7 0

Answer:

Total possible ways to select 6 teachers from 34 teacher are ^{34}C_6=1344904.

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.

^nC_r=\frac{n!}{r!(n-r)!}

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

^{34}C_6=\frac{34!}{6!(34-6)!}

^{34}C_6=\frac{34\times 33\times 32\times 31\times 29\times 28!}{6!(28)!}

^{34}C_6=1344904

Therefore total possible ways to select 6 teachers from 34 teacher are ^{34}C_6=1344904.

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