D. 10 E 4 A. 59 В. C. 48 46 A. -2 B. -1 C. 0 2. The derivative of the function f (w) which ia given by fW =x-*+x-1 at x=1s D. I E. 2 3. Given the function f (W=4WT. The derivative of the function f ( is F(x) = A. D. 4Vi В. E. S C. 2 4. The derivative of the function f (aj is represented byf (a) = isl = A. - В. D. - E. C. 5. The derivative of the function f ( is represented byf (N) =V is f'= D. į A. В.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Multiple choice questions
choose the correct answer
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D. 10
E. 4
A.
59
В.
48
C.
46
2. The derivative of the function f (x) which is given by f (x) =x-x+x-1 at x= 1 is
A. -2
В.
D.
Е. 2
-1
C. O
3. Given the function f ( =4Vx. The derivative of the function f (x) is f'(x) =
A.
D. 4V
В.
4
E.
C. 2
4. The derivative of the function f () is represented byf (x) =
is f (N =
A.
D. -
B. -4
E.
C.
5. The derivative aof the function f (x) is represented byf (x ="*
is f ( =
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