Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways
<h3>4 people do 10 hours and one person does 20 hours</h3>
<em><u>Solution:</u></em>
Given that,
A supervisor must split 60 hours of overtime between five people
One employee must be assigned twice the number of hours as each of the other four employees
Let "x" be the number of hours overtime per person.
One person does 2x hours of overtime
Which means,
(number of hours overtime per person)(6 person) = 60 hours
6x = 60
x = 10
Thus, 4 people do 10 hours and one person does 20 hours
Answer:
x = 0 or x = 3
Step-by-step explanation:
if f(x) = g(x) then – x2 + 4x + 1 = x + 1
add the like terms
-x^2 +3x = 0
-x (x-3) = 0 then x is either 0 or 3
Answer: 8 hrs and 3/4 of an hour (three quarters)
Step-by-step explanation:
the same logic such as a quarter of an hour
Step-by-step explanation:
<h2> l=P×R×T</h2><h3> 6000=2160×X/100×9</h3><h3> 6000÷194.4</h3><h2> =30.86%</h2>
