Answer: Check the attached
Step-by-step explanation:
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>
Draw a cake or a pie cut into 24 pieces. Then draw 6 figures around the cake. color code each group of 4 pieces of cake and coordinate it with figure.
Ex: If 4 pieces of the cake were red, color one of the figures red so each figure gets 4 pieces of the cake.
Answer:
FA = 25.87
Step-by-step explanation:
Given: BD = 30 , DF = 5 , EF = 16
To find: FA
Rectangular box is a Cuboid.
Figure attached.
AB = FE = 16
So,
In ΔADB
using Pythagoras theorem,

Again using Pythagoras theorem in Δ ADF we get

Therefore, FA = 25.87
<em>Greetings from Brasil...</em>
We need to use the Sine Law in Any Triangle....
(AB/SEN C) = (BC/SEN A)
19/SEN X = 16/SEN32
SEN X = 0,62
<em>using the sine arc</em>
ARC SEN 0,62 ≈ 39