Part A
If 4 candidates were to be selected regardless of gender, that means that 4 candidates is to be selected from 12.
The number of possible selections of 4 candidates from 12 is given by

Therefore, the number of <span>selections of 4 candidates regardless of gender is 495.
Part B:
</span>
<span>If 4 candidates were to be selected such that 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4.
The number of possible selections of </span><span>2 men candidates from 8 and 2 women candidates from 4 is given by
</span><span>

Therefore, the number of selections of 4 candidates </span><span>such that 2 women must be selected is 168.</span>
Part 3:
If 4 candidates were to be selected such that at least 2 women must be
selected, that means that 2 men candidates is to be selected from 8 and 2
women candidates is to be selected from 4 or 1 man candidates is to be selected from 8 and 3
women candidates is to be selected from 4 of <span>no man candidates is to be selected from 8 and 4
women candidates is to be selected from 4.
The number of possible selections of </span>2 men candidates from 8 and 2 women candidates from 4 of <span>1 man candidates from 8 and 3
women candidates from 4 of no man candidates from 8 and 4
women candidates from 4 is given by
</span><span>

Therefore, the number of selections of 4 candidates </span><span>such that at least 2 women must be
selected is 201.</span>
Answer:
20 books
Step-by-step explanation:
given that the shelf can hold 25 1/2 lbs (i.e 25.5 lbs), and that each book weighs 1 1/4 ln (i.e 1.25 lbs)
number of books which the shelf can hold
= weight that the shelf can hold ÷ weight of each book
= 25.5 ÷ 1.25
= 20.4 books
because having 0.4 of a book (i.e part of a book) would not be very feasable, we have to round the number of books down to the nearest whole number)
20.4 books rounded down to nearest whole number = 20 books (answer)
Answer and Step-by-step explanation

2, -4, 6, -8, 10, -12, 14, -16
These are the next three numbers in the pattern :-12, 14, -16
Step-by-step explanation:
2x + 7 = 27 OR 3 + 3x = 30.
2x = 27 - 7 OR 3x = 30 - 3
2x = 20 OR 3x = 27
x = 20/2 OR x = 27/3
x = 10 OR x = 9
If p = 2, insert the value of p.
2^3 = 2 x 2 x 2 = 4 x 2 = 8
so p^3 = 8