If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5
No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000
No of ways 14 people can be arranged in 14 seats = 14!
Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
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z = m - x
To solve for x, we can treat this like a typical algebraic problem.
We need to isolate x on one side.
<em><u>Add x to both sides</u></em>
z + x = m
<u><em>Subtract z from both sides</em></u>
x = m - z
This should be the answer.
Answer:132
Step-by-step explanation: 1.25-.50=75 the profit of each apple is 75 cents
99 dollars divided by .75 is 132
Answer:
The correct option is;
False
Step-by-step explanation:
The coefficient of x^k·y^(n-k) is nk, False
The kth coefficient of the binomial expansion, (x + y)ⁿ is 
Where;
k = r - 1
r = The term in the series
For an example the expansion of (x + y)⁵, we have;
(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵
The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15
Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ = 
not nk
No, 600 mm is less that 5 m
1 meter = 1000 millimeters
That means that to find out how many millimeters are in 5 m, one way you could calculate it is by multiplying 5 by 1000
5 • 1000 = 5000, so 5 m = 5000. Since 600 < 5000, 600 mm < 5 m
