Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 = 
= 
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
Answer:
the canine community center is the better deal
Step-by-step explanation:
the sit and stay school:
96/12 is 8
it is $8 per class
the canine community school:
125/5=5
it is $5 per class
For n=2,
put the value 2 in the above equation we get 525*2=1050°.
1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.
For n=6,
put the value 6 in the above equation we get 525*6=3150°.
3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.
Answer:
<h2><em>
B. (b+3c)+(b+3c) </em></h2><h2><em>C. </em><em>
2(b)+2(3c)</em></h2>
Step-by-step explanation:
Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;
Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.
= 2(b+3c)
= 2(b)+ 2(3c)
= 2b +2*3*c
= 2b +6c
It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.
<em>Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c</em>
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- Ali and mo share a sum of money in the ratio ali : mo = 9 : 7 .
- Ali receives 600 more than mo .
And we need to find out how much each receives .Let us take that
- Mo received x .
- Ali will get x + 600.
<u>According</u><u> to</u><u> the</u><u> Question</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Therefore</u><u> </u><u>:</u><u>-</u><u> </u>
- Ali = x+600 = 2700
- Mo = x = 2100
