25 pts. : Directions: Complete this review of lessons 3-1 & 3-2. There are 25 questions in total.
1 answer:
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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