Answer:
24 possible outcomes
Step-by-step explanation:
Combination has to do with selection. For example, if r object is selected from a pool of n objects, the number if possible ways can be expressed according to the combination formula:
nCr = n!/(n-r)!r!
Applying this in question, if each student receives one of 4 calculator models and one of 3 types of ruler, the number of ways this can be done is:
4C1 × 3C1
4C1 = 4!/(4-1)!1! {If a student gets one calculator)
4C1 = 4×3×2/3×2
4C1 = 4ways
3C1 = 3!/(3-2)!1! {If a student gets a ruler}
3C1 = 3×2/1
3C1 = 6ways
Total number of possible outcomes if a student gets one ruler and one calculator will be 4×6 = 24ways
The answer is choice C
Plane D(choice C) because choice a and b are not lines(one letter cannot be a line and PBC and not connected). It's not d because e isn't a point
Area of circle = πr²
Find radius:
πr² = 1808.64
r² = 1808.64 ÷ π
r² = 575.71
r = √575.71
r = 23.99 units
Find Circumference:
Circumference = 2πr
Circumference = 2π (23.99)
Circumference = 150.76 units
Answer: Circumference = 150.76 units