), vne N,n 2 1 is Q25.) The function f defined on [0, 1] by f(x) = e=* (1+++. derivable on the interval [0,1). It's derivative f' (x) is given by f'(x) = A.) -e-* B.)e* C.) x-1 D.) E.) None of the above (n-1)! (n-1)!
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.
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Answer Q23, 24, 25
![Q23.) Given that a, ß and y are the roots of the equation x3 – x? + 5x – 6 = 0, then the exact
value of at + B4 +y* is
A.) 75
B.) – 83
C.) 55
D.) – 64 E.) None of the above
3x cost
dt
Q24.) The exact value of lim
6x?
x>0
A.) - B.) -
C.) -
D.) - E.) None of the above
+), vn€ N,n 2 1 is
Q25.) The function f defined on [0, 1] by f(x) = e-*(1+
derivable on the interval [0,1]. It's derivative f' (x) is given by f'(x) =
A.) -e
+..+
2!
1!
x"-1
С.)
(n-1e*
x-1
B.)e
D.)
E.) None of the above
n!
(п-1)!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a6d9c67-6f13-49d2-ac4d-2d996f90a88b%2F416bed06-e3c0-4471-96c1-19278d0d9211%2Fa3m1d96_processed.jpeg&w=3840&q=75)
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