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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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Answer:

(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf

(b) density = 0.1206g/cm^3

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Step-by-step explanation:

(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf

(b) P = 9×10^6N/m^2

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rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3

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