14C3 = 14! / 11!3!
<span>= 14 x13 x12 / 3x2x1 </span>
<span>= 2184 / 6 </span>
<span>= 364 different combinations </span>
<span>The first movie can be any of 14 </span>
<span>As you have already seen one the second movie can be any of the 13 remaining </span>
<span>As you have already seen two the third movie can be any of the 12 remaining. </span>
<span>Therefore there are 14 x 13 x 12 = 2184 PERMUTATIONS of movies you can see. </span>
<span>However among those 2184 different permutations will be instances where you have watched the same three movies but just in a different order. </span>
<span>eg ET, The Piano, Harry Potter = ET Harry Potter The Piano = The Piano, ET, Harry Potter = The Piano Harry Potter ET = Harry Potter ET The Piano = Harry Potter The Piano ET. </span>
<span>For each set of three films there are 3! or 3x2x1 or SIX different ways they can be arranged in. </span>
<span>Therefore we need to DIVIDE the above 2184 permutations by 6 to get the number of COMBINATIONS of different films that can be watched. </span>
<span>2184 / 6 = 364</span>
Answer:
Step-by-step explanation:
The picture of the question in the attached figure
step 1
we know that
----> by complete circle
substitute the given values
solve for x
step 2
Find the measure of arc JM
substitute the value of x
Answer:
The age of Sue could be 7 years
Step-by-step explanation:
Jenny is 8 years older than twice her cousin Sue's age.
The first equation will be :
J = 8 + 2S ---------(1)
The sum of their ages is less than 32.
The second equation will be :
J + S < 32 ----------------(2)
Now rearrange both equations :
8 + 2S + S < 32
3S < 32 - 8
3S < 24
S < 24/3
S < 8
S = 7
The age of Sue could be 7 years.
Answer with Step-by-step explanation:
We are given that
Radius of circle=r
Total distance traveled =s
Time=t
Central angle=
rad
We know that
Linear speed,v=
Using the formula
Therefore, v=
Angular speed,
By using the formula
rad/s
