Answer to Question #203211 in Statistics and Probability for Dexter Prades

Question

Determine the number of different samples of the given size n that can be drawn from the given population of size of N

• Population (N)

1.7
2.10
3.12
4.56
5.70
6.15
7.30
8.9
9.7
10.20

• Sample Size (n)

1.3
2.2
3.5
4.4
5.6
6.2
7.6
8.3
9.2
10.5

• Number of Possible Samples

1.?
2.?
3.?
4.?
5.?
6.?
7.?
8.?
9.?
10.?

Answer 1

$1. \dbinom{7}{3}=35$

$2. \dbinom{10}{2}=45$

$3. \dbinom{12}{5}=792$

$4. \dbinom{56}{4}=367290$

$5. \dbinom{70}{6}=131115985$

$6. \dbinom{15}{2}=105$

$7. \dbinom{30}{6}=593775$

$8. \dbinom{9}{3}=84$

$9. \dbinom{7}{2}=21$

$10. \dbinom{20}{5}=15504$