Question

question 25
find the number of different ways that an instructor can choose 6 students from a class of 30 students for a field trip.
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question 26
chantal has a bag of candies that contains 4 chocolate chip candies, 5 peanut butter candies, 7 ginger...
normal distribution table

Explanation:

Step1: Identify combination formula

Choosing 6 from 30 (order doesn't matter) uses $C(n,k)=\frac{n!}{k!(n-k)!}$, $n=30,k=6$.

Step2: Calculate factorial values

$C(30,6)=\frac{30!}{6!24!}=\frac{30×29×28×27×26×25}{6×5×4×3×2×1}$

Step3: Compute the result

$\frac{30×29×28×27×26×25}{720}=593775$

Answer:

593775