This document contains a practice test for permutations and combinations with 20 multiple choice questions. It provides instructions on how to contact the organization that composed the test for any questions. The test covers topics like factorials, permutations, combinations, and word problems involving arranging or selecting letters to form words.

1. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1
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CLASS
XI
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Composed by Engin Baştürk FEDERAL BOARD
TYPE Objective Permutation, Combination and Probability No 1
Q1: The product of all positive integers equal to or less
than ‘ n ’ is called ……………….. of n.
A) Factor B) Factorial
C) Sequence D) Series
Q2: If ‘ n ’ is a positive integer then !n is:
A)   2 3 ....2.1n n n  B)   4 5n n n 
C)   1 2 ....3.2.1n n n  D) .5.4.3.2.1n
Q3: 0! ?
A) 0 B) 2 C) 1 D) -1
Q4: The arrangement of finite No of objects taken
some or all at a time in certain order is called:
A) Probability B) Factorial
C) Permutation D) Combination
Q5: 5! ?
A) 24 B) 120 C) 720 D) -120
Q6: ?n
rP 
A)
!
!
n
r
B)
 
!
! !
n
r n r
C)
 
 
1 !
! !
n
r n r


D)
 
!
!
n
n r
Q7: ?n
nP 
A) 0 B) 1 C) n D) !n
Q8: 0 ?n
P 
A) 0 B) 1 C) n D) !n
Q9: 10
3 ?P 
A)
10!
3!
B) 5040 C) 720 D)
10!
7!3!
Q10: If 3 4
n n
P P , then n is:
A) 5 B) 0 C) 1 D) 4

2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: Total number of words formed from the letter
“TRIANGLE” using all the letters is:
A) 41320 B) 4320
C) 40320 D) None of these
Q12: If11
990nP  , then n is:
A) 11 B) 4 C) 19 D) 3
Q13: The numbers of signals that can be given by six
flags of different colors using three flags at a time are:
A) 6 B) 120 C) 24 D) 18
Q14: If 1 30n
P  , then n is:
A) 24 B) 15 C) 30 D) 120
Q15: 16
2 ?P 
A) 250 B) 240 C) 120 D) 230
Q16:
7!
?
2!3!

A) 120 B) 400 C) 420 D) 24
Q17: How many words can be formed from the letter
ARTICLE using all the letters ………………..
A) 5040 B) 5050 C) 5000 D) 720
Q18: If 1
4 3: 9:1n n
P P
 , then n is:
A) 8 B) 9 C) 10 D) 5
Q19: If 4 36n n
P P  then n is:
A) 11 B) 10 C) 9 D) 15
Q20: The number of words can be formed from the letter
“MISSISSIPPI” using all the letters is:
A) 34650 B) 34600 C) 35650 D) None
Answer Key
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20