Hey guys,
I am new to this forum, I these questions from the Mathematics ext Half yearly thread just now. I think some dude posted them named Omed62. They questions seem to be one of the most common half yearly questions. Even I struggled with them... Have you guys tried them yet... I got stack on them. How do you do them?
Q1. In how many ways can three groups of three numerals be chosen without replacement from the nine numerals 1,2,3,4,5,6,7,8,9 ?
A) 84
B) 80
C) 504
D) 1680
Q2. In how many ways can a group of three letters be chosen without replacement from the nine letters of the world AUSTRALIA?
A) 14
B) 28
C) 42
D) 84
Q3. In an Argand diagram the vectors OP and OQ represent the complex numbers z and w repectively such that Triangle OPQ is equilateral.
What is an expression for z^2 +w^2.
A) -2zw
B) -zw
c) zw
D) 2zw
Q4. if z^n-1= (z-1)(z-w)(z-w^2)...(z-w^n-2)(z-w^n-1). what is the value of (1-w)(1-w^2)...(1-w^n-2)(1-w^n-1).
A) 0
B) 1
C) n-1
D) n
I am new to this forum, I these questions from the Mathematics ext Half yearly thread just now. I think some dude posted them named Omed62. They questions seem to be one of the most common half yearly questions. Even I struggled with them... Have you guys tried them yet... I got stack on them. How do you do them?
Q1. In how many ways can three groups of three numerals be chosen without replacement from the nine numerals 1,2,3,4,5,6,7,8,9 ?
A) 84
B) 80
C) 504
D) 1680
Q2. In how many ways can a group of three letters be chosen without replacement from the nine letters of the world AUSTRALIA?
A) 14
B) 28
C) 42
D) 84
Q3. In an Argand diagram the vectors OP and OQ represent the complex numbers z and w repectively such that Triangle OPQ is equilateral.
What is an expression for z^2 +w^2.
A) -2zw
B) -zw
c) zw
D) 2zw
Q4. if z^n-1= (z-1)(z-w)(z-w^2)...(z-w^n-2)(z-w^n-1). what is the value of (1-w)(1-w^2)...(1-w^n-2)(1-w^n-1).
A) 0
B) 1
C) n-1
D) n