Observe the following lists
List I | List II |
(A) [a b c] | 1. |
(B) | 2 .(a . c)b - (a . b) c |
(C) | 3. |
(D) a . b | 4. |
5. (b . c)a - (a . b)c |
Then the correct match for List I from List II is
A. A B C D | (i) 1 2 3 4 |
B. A B C D | (ii) 3 5 2 1 |
C. A B C D | (iii) 3 5 5 1 |
D. A B C D | (iv) 3 2 5 1 |
If N denotes the set of all positive integers and if f : efined by f(n) = the sum of positive divisors of n then, f(2k, 3), where k is a positive integers, is
2k + 1 - 1
2(2k + 1 - 1)
3(2k + 1 - 1)
4(2k + 1 - 1)
A three digit numbern is such that the last twodigits of it are equal and differ from the first. The number of such n's is
64
72
81
900
The coefficient of x3y4z5 in the expansion of (xy + yz + xz)6 is
70
60
50
None of these
B.
60
If the general term in the above expanssion contains x3y4z5, then
r + t = 3, r + s = 4 and s + t = 5
Also, r + s + t = 6
Solving these equations, we get
r = 1, s = 3, t = 2