TEST PREPARATION
TOPIC 9: PERMUTATION, COMBINATION &
PROBABILITY
Instructor: Mr. Maqsood Alam
GENERAL INSTRUCTIONS
1. There are 20 MCQs in the test, each carrying equal marks. Each
correct response gets 1 mark. Attempt all the questions.
2. For every question four options (A, B, C, D) are given, you
have to select only one correct option.
3. Erasing, cutting or overwriting is not allowed. Once an answer
has been given on answer sheet, the candidate will not be
allowed to change it. Shading two or more circles for a
question will get Zero marks for that question.
4. There will be no negative marking.
5. Calculators are allowed.
6. Separate sheet will not be provided for rough work. Do not ask
for any clarification.
TOPIC COVERAGE
The counting principal, The factorial notation, Permutation & Combinations, Number of permutations,
Circular or cyclic permutations, number of combinations, Basic terminology of probability, Probability
measure Addition law of probability, and many others
Permutation, Combination and Probability
1) If n is a positive integer then n ! =
1
A) n (n + 1) (n + 2) …… (n + n) B) n (n – 1) (n – 2) …. 3.2.1
n(n+1 ) n(n−1)
C) 2 D) 2
n
2) If P2 =20 then n =
A) 4 B) 5 C) 6 D) 10
n
3) C r=
n! n! n! r!
A) (n−r)! B) (n−r)!r ! C) r ! D) (n−r)!
n
4) Pr =
n! r! n! n!
A) r ! B) (n−r)! C) (n−r)! D) (n−r)!r !
n
5) P o=
A) n! B) n C) 1 D) 0
10
6) P 2=
A) 90 B) 10 C) 8 D) 80
n n
7) If C 6 = C10 then n =
A) 4 B) 6 C) 10 D) 16
8) The number of words which can be formed out of the word “ASSASSINATION”, when
all the letters are used in each word are
( 13¿ ) ¿ ¿¿ 4! 13
A) ¿ B) 13! C) 13! D) 4 !
9) The number of ways a hockey eleven can be selected out of 15 players if it includes a
particular player.
15 14 14 15
A) C 11 B) C11 C) C10 D) C 10
5
10) P0 =
2
A) 5 B) 0 B) 15 D) 1
11) The number of possible permutations of the letters of the word, “ADDING” having
two D’S together.
A) 5! B) 3! C) 4! D) 25
12) For any event A
A) 0 P(A) 1 B) –1 P(A) 1 C) – 2 P(A) 2 D) 0 P(A) 2
13) The number of words that can be formed from the letters of the word, “PAKPATTAN”
are
9!
9 9
A) 9! B) C 7 C) P7 D) 3! 2!2!
14) The number of words that can be formed from the letters of the word,
“COMMITTEE” are
9!
9 9
A) P 9 B) C 9 C) 2!2!2! D) 9
15) The events A & B are said to be disjoint if A B is
A) B) A C) B D) A B
16) A dice is thrown then the probability to get an even number is
A) 4/5 B) 3/5 C) 2/3 D) ½
17) A slip is picked out of 8 slips numbered from 1 to 8 then the probability to get
number 4 is
A) 8 B) 1/8 C) ½ D) 3/8
18) The three digit numbers that can be formed from 0, 1, 2, 3, 4, when no digit is
repeated are
A) 48 B) 36 C) 24 D) 10
19) The number of distinct permutations from the letters of the word, “ARTICLE” using
all the letters are
A) 7 B) 7! C) 49 D) 59
20) A & B are mutually exclusive events the P(A B) =
A) P(A) P(B) B) P(A) + P(B)
B) C) P(A) + P(B) – P(A B) D) P(A) - P(B)
