Answer: (a) 19448 ways
(b) 5292 ways
(c) 0.2721
Step-by-step explanation:
(a) 10 county council members be randomly elected out of the 17 candidates in the following ways:
= 
= 
= 
= 19448 ways
(b) 10 county council members be randomly elected from 17 candidates if 5 must be women and 5 must be men in the following ways:
we know that there are 7 women and 10 men in total, so
=
× 
=
× 
= 21 × 252
= 5292 ways
(c) Now, the probability that 5 are women and 5 are men are selected:
= 
= 
= 0.2721
Answer:
3 3/4 hours
Step-by-step explanation:
If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.
Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.