Answer:The formula for a combination of choosing r unique ways from n possibilities is:
nCr = n!
r!(n - r)!
where n is the number of items and r is the unique arrangements.
Plugging in our numbers of n = 10 and r = 0, we get
10C0 = 10!
0!(10 - 0)!
10C0 = 3,628,800
3,628,800
We need to simplify
First lets factor
=
by applying the radical rule
By applying the radical rule
So
=
=
Now let's factor
By applying the radical rule
,
So
=
So
=
We know that
so
We now have
We know that
So
We now got
We can notice that the numerator and the denominator both got √2 in a multiplication, so we can simplify them, and we get:
All in All, we get
=
Hope this helps! :D
Answer:
17
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u>
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u>
<u>Answer</u><u> </u><u>:</u>
- x + y = 4 ....[Equation (i)]
- x + y = 1......[Equation (ii)]
<u>Adding</u><u> </u><u>eqⁿ (ii) </u><u>and</u><u> eqⁿ (i) we get :</u>
→ x + y + x - y = 4 + 1
→ 2x = 5
→ x = 5/2
→ x = 2.5
<u>Now</u><u>,</u><u> </u><u>put</u><u> </u><u>the</u><u> </u><u>value </u><u>of</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u>/</u><u>2</u><u> </u><u>in</u><u> </u><u>eqⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>we</u><u> </u><u>get</u><u> </u><u>:</u>
→ x + y = 4
→ 5/2 + y = 4
→ y = 4 - 5/2
→ y = 1.5