MTH202 Quiz 3 by VU Topper RM

Let X = {1, 2, a, b}. Then 3-combinations of the 4 elements of the set X are _______ ?

A. {1, 2, a}, {1, 2, b}, {1, a, b} and {2, a, b} B. {1, 2, a}, {a, 2, 1}, {1, a, b}, and {b, a, 1} C.

{1, 2, a}, {a, 2, 1},{b, 1, a} and {1, 2, b}

D. {1, b, a}, {a, b, 2},{b, 1, a} and {1, 2, b}

C(n, k)= k! P(n, k) . A. true B.

false

C(n,0)=…………….. A. B. n C. C(n,n) D. Both b and c

which of the followings is the correct option for 9!/0! ? A. 9! B. C. D.

Number of ways the ‘7’ student can be divided into group of ‘3’ and ‘4’are …………… A. B. C. D. If order matters and repetition is not allowed, then which counting method should be used in order to select 'k' elements from a total of 'n' elements? A.

K-Permutation

B. C. K-Sample D.

If one event can occur in n1 ways, a second event can occur in n2 ways, a third event can occur in n3 ways, how ways all of the events can occur in the order?

A. n1+n2+n3 B.

n1.n2.n3

P(n, 2)=90, Which of the followings is the value of n ?

Find the number of distinct permutations that can be formed using the letters of the word ”BENZENE” A. B. C. D.

The value of (-3)!=______. A. None of the above B.

Not defined

C. -6 D. The number of the words that can be formed from the letters of the word,“COMMITTEE” are A. P(9, 9) B.

9!2!2!2!

C. 9!2!2!3! D. C(9, 9)

Which of the followings is correct option?

A. C(n, k) + C(n, k + 1) = C(n, k + 1) B. C(n, n) = n C.

C(n, 0) = 1

D. C(n, k) = C(n + k, n – k)

Find the number of the word that can be formed of the letters of the word “ELEVEN”. A. None of these B. C. D.

Sum rule in terms of sets, involves which set operation?

A.

Union

B. Intersection

If k = 10 and n = 2; find the number of ways using k-Selection. A. B.

None of these

C.