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trapecia [35]
3 years ago
14

True or false: To select 3 items out of 4 distinct objects, use C(4,3).

Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:

True

Step-by-step explanation:

Given :  To select 3 items out of 4 distinct objects, use C(4,3).

To Find: True or false

Solution:

Total items = 4

No. of items to be selected = 3

Since we are not given any sequence of selection .

So, we will use combination.

Formula : C(n,r)=\frac{n!}{r!(n-r)!}

So, We will use C(4,3)To select 3 items out of 4 distinct objects

So, To select 3 items out of 4 distinct objects, use C(4,3) is true .

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Please check picture to see question
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In the diagram, PN¯¯¯¯¯ is the perpendicular bisector of AB¯¯¯¯¯ and is also the angle bisector of ∠CPD. If m∠CPD = x, which qua
zaharov [31]

Since ∠CPD = x and segment PN is the angle bisector of this angle, therefore segment PN equally divides ∠CPD into two angles. Which means that:

∠CPN = ∠NPD = x / 2

Further, segment PN is also the perpendicular bisector of AB which further means that the intersection formed by PN and AB creates a right angle (90°). Therefore:

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Therefore:

sin∠<span>DPB = sin(90 – x/2) which is not in the choices</span>

However we know that the relationship of sin and cos is:

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<span>cos(x/2)</span>

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