# mcqs

• Feb 11th 2007, 06:44 AM
m777
mcqs
Hello,
please try to solve these questions
• Feb 11th 2007, 07:25 AM
ThePerfectHacker
Part 1)
False
True
True
False

Part 2)
The second one.

Part 3)
The third one.

Part 4)
Do not know.
• Feb 11th 2007, 07:38 AM
m777
Hello,
But i have to choose only one option in question no 1.i think so option no 3 is more suitable what is your point of view.
• Feb 11th 2007, 07:48 AM
ThePerfectHacker
Quote:

Originally Posted by m777
Hello,
But i have to choose only one option in question no 1.i think so option no 3 is more suitable what is your point of view.

In that case #3 is wrong. Because when you wrote {X} I was thinking you actually meant {x}. But since it matters here, it is wrong.
• Feb 11th 2007, 03:04 PM
Soroban
Hello, m777!

Quote:

a) Which of these is true?

1) {x} ε {x}
2) φ ε {x}
3) {X} ε {{x}}
4) none of these

If that's really an upper-case X in (3), the answer is (4) "none of these".
If it's supposed to be "x" in there, the answer is (3).

Quote:

b) In R, the symmetric property with respect to equality of numbers is:

1) .a = b . . b = -a
2) .a = b . . b = a
3) .a = b . . b = 2a
4) .a = b . . a = -b

Do you know what the symmetric property is?

Quote:

Combination of n and k . . . that is: C(n,k)

. . . .n!
1) -------
. . (n-k)!

. . . . n!
2) ---------
. . k!(n-k)!

. . . . n!
3) ---------
. . n!(n-k)!

4) None of these

You're new to "combinations", aren't you?

I'm not familiar with "binary trees" . . . sorry.

• Feb 11th 2007, 07:28 PM
CaptainBlack
Quote:

Originally Posted by ThePerfectHacker
Part 1)
False
True
True
False

Option (2) is the statement: NullSet in {x}, which is false unless x=NullSet.

Option (3) is the statement: {X} in { {x} }, which is false unless there is a
convention in place that has X={x}.

But if options 1, 2, 3 are all false then 4 will be true.

RonL
• Feb 11th 2007, 08:30 PM
CaptainBlack
d) There is a full binary tree that has 10 internal vertices and 13 terminal vertices

No, for a full binary tree:

n(terminal)=n(internal)+1

RonL
• Feb 11th 2007, 08:47 PM
m777
soroban
Hello,
Soroban.
yes, i have just started the topic "combinations". For any quantities a and b, if a = b, then b = a is symmetric property.