Geofavor:

the 1 and n are together. As in (n + 1)C₃

Oh... Now I get.....
Solving.

Geofavor:

the 1 and n are together. As in (n + 1)C₃

n=3

Solution loading.

Geofavor:

btw, check this one out: (n + 1)C₃ = 4( nC₃ ) .... Find n

The solution is kinda long... so I didn't use my S-Note

Geofavor:


Shouldn't this be 5C₂ x 3C₁ + 5C₁ x 3C₂ ?

Yah, you're correct. It's either 2 men and one woman or 2 women and one man

ShyNeptune:


The solution is kinda long... so I didn't use my S-Note

Lmao. This thing you used two pages to solve is an objective question o. We don't have this luxury of time during exam. Well done, you're correct. But I was expecting to see a quick approach (shortcut).

Geofavor:

Lmao. This thing you used two pages to solve is an objective question o. We don't have this luxury of time during exam. Well done, you're correct. But I was expecting to see a quick approach (shortcut).

Hahahaha... it's just a page.... The second picture is nothing but a replica.
It won't take much time/space solving it alone in the exam hall... you know.
On a normal day I would have skipped so many lines and arrived at my answer.
But for the sake of those who may need the step by step solutions i had no option but to solve it all. Lol.

Mathefaro may have a shortcut

mathefaro:
Yah, you're correct. It's either 2 men and one woman or 2 women and one man

Cool.




Is that you in your DP?

Geofavor:


In how many ways can a delegation of 3 be chosen from 5 men and 3 women, if at least 1 man and 1 woman must be included?


Thankyoujesus, mathefaro, shyneptune, umartins1 etc.

Shouldn't this be 5C₂ x 3C₁ + 5C₁ x 3C₂ ?

one man and two women or two men and one woman

Geofavor:
In how many ways can 6 coloured chalks be arranged if 2 are of the same colour?

A) 60. B) 120. C)240. D)360

together or not?

thankyouJesus:
together or not?

none. That's how the question was set.

ShyNeptune:

Cool.




Is that you in your DP?

Yah

ShyNeptune:

Hahahaha... it's just a page.... The second picture is nothing but a replica.
It won't take much time/space solving it alone in the exam hall... you know.
On a normal day I would have skipped so many lines and arrived at my answer.
But for the sake of those who may need the step by step solutions i had no option but to solve it all. Lol.

Mathe.faro may have a shortcut

okay. Ha, I for say. I wan begin dey fear you be that o. I knew a guy who does that.

The guy uses about 3 pages to solve a question which shouldn't take more than 3 to 4 lines.

Geofavor:
In how many ways can 6 coloured chalks be arranged if 2 are of the same colour?

A) 60. B) 120. C)240. D)360

6!/2! = 360

mathefaro:
6!/2! = 360

thank you sir. It's hightime I burnt this nonsense past questions book.
Or is there any chance that the answer is 2! X 6!?

Geofavor:

thank you sir. It's hightime I burnt this nonsense past questions book.

Or is there any chance that the answer is 2! X 6!?

Depends on the condition. But by default(without condition), 6!/2! Is the correct solution. It's just like saying. In how many ways can the letters of the word "SCHOOL" be arranged?

mathefaro:
Depends on the condition. But by default(without condition), 6!/2! Is the correct solution. It's just like saying. In how many ways can the letters of the word "SCHOOL" be arranged?

exactly my thoughts.

mathefaro:
Yah

oh. cool. nice pic.

Geofavor:

okay. Ha, I for say. I wan begin dey fear you be that o. I knew a guy who does that.

The guy uses about 3 pages to solve a question which shouldn't take more than 3 to 4 lines.

Lwkmd

[ X² - sqrt(X)] / X
find dy/dx
thankyoujesus, mathefaro, shyneptune, oxytocin, etc.

Geofavor:
[ X² - sqrt(X)] / X

find dy/dx

thankyoujesus, mathefaro, shyneptune, oxytocin, etc.

Change the sqrt(x) to index form and split the numerator into two parts each taking x as the denominator then differentiate whatever you get wrtx

mathefaro:
Change the sqrt(x) to index form and split the numerator into two parts each taking x as the denominator then differentiate whatever you get wrtx

how do you differentiate x^1/2/cosx. Do you differentiate them individually or you use the quotient rule?

Geofavor:

how do you differentiate x^1/2/cosx. Do you differentiate them individually or you use the quotient rule?

Since, they're 2 different functions of x, you'll use quotient rule unlike x^1/2/x which is still one function of x

mathefaro:
Since, they're 2 different functions of x, you'll use quotient rule unlike x^1/2/x which is still one function of x

okay.

Solve ₹x2-9=x+1

₹ is square root.
X2 is x square

parkparky:
Solve ₹x2-9=x+1

₹ is square root.
X2 is x square

First and foremost, square both sides to get
x² - 9 = (x + 1)²
x² - 9 = x² + 2x + 1, if you collect like terms from here, you get
2x = -10
x = -5

Although, if you come across this in your UTME, I'll SUGGEST(just a mere suggestion) you don't bother solving it, just test each of the options.

mathefaro:
First and foremost, square both sides to get
x² - 9 = (x + 1)²
x² - 9 = x² + 2x + 1, if you collect like terms from here, you get
2x = -10
x = -5

Although, if you come across this in your UTME, I'll SUGGEST(just a mere suggestion) you don't bother solving it, just test each of the options.

tanxs sir, i get like 5 Binary operation questions..i nid xplanations

mathefaro:
First and foremost, square both sides to get
x² - 9 = (x + 1)²
x² - 9 = x² + 2x + 1, if you collect like terms from here, you get
2x = -10
x = -5

Although, if you come across this in your UTME, I'll SUGGEST(just a mere suggestion) you don't bother solving it, just test each of the options.

nice. Pls keep the SHORTCUTS coming.

parkparky:
tanxs sir, i get like 5 Binary operation questions..i nid xplanations

post asap

parkparky:
tanxs sir, i get like 5 Binary operation questions..i nid xplanations

Bring it on

Geofavor:

post asap

1. X*Y=X^Y(X power y). Find X if X*2=12-X.

2. If M*N=N-(M+2). find 3*(-5)

3..find m*n=m+n+mn.find the inverse of 5.if the identity element is 0

4.x*y=x2-y2/2xy find -5*3.

5.If a*b=ab+2(a+b+1). Find the identity element

parkparky:

1. X*Y=X^Y(X power y). Find X if X*2=12-X.

2. If M*N=N-(M+2). find 3*(-5)

3..find m*n=m+n+mn.find the inverse of 5.if the identity element is 0

4.x*y=x2-y2/2xy find -5*3.

5.If a*b=ab+2(a+b+1). Find the identity element

Binary operation is just all about following the definition of a particular operator *,¥ and so on. Just substitute the given values and you see how easy it is.
Check the attached solutions

mathefaro:
Binary operation is just all about following the definition of a particular operator *,¥ and so on. Just substitute the harvest values and you see how easy it is.
Check the attached solutions

tanks sir