This document contains 20 multiple choice questions related to permutation, combination and probability concepts. It provides the questions, possible answer choices for each question, and a key for the correct answers. Some example questions include calculating the total number of words that can be formed from the letters in "mathematics", determining the number of ways 7 females can be seated around a table, and finding the value of n if a certain binomial coefficient equation is true.

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 2
Q1: Total number of words can be formed from the letters
of the word ‘mathematics’ using all letters is:
A) 4889600 B) 4889660
C) 48899600 D) 4899660
Q2: In how many different ways can seven female be seated
at around table?
A) 750 B) 120 C) 24 D) 720
Q3: How many 7-digit numbers can be formed from
2,2,3,3,3,4,4 ?
A) 200 B) 220 C) 210 D) 720
Q4: How many different numbers greater than 3 million can
be formed from the digits 1,1,1,1,2,2,3?
A) 16 B) 15 C) 20 D) 24
Q5: How many different ways are possible of the letter
‘SOME’ ?
A) 2! B) 3! C) 4! D) 5!
Q6: ?n
rC 
A)
 
!
!
n
n r
B)
!
!
n
r
C)
 
!
1 !
n
r 
D)
 
!
! !
n
n r r
Q7: 1 ?n
nC  
A) !n B) 1n  C) n D) !n
Q8: 0 ?n
C 
A) 1 B) 0 C) n D) !n
Q9: 1 ?n
C 
A) 1 B) !n C) 0 D) n
Q10: ?n
nC 
A) 0 B) n C) 1 D) !n

2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: ?n
n rC  
A) n
nC B)
 
!
! !
n
n r r
C)
 
!
!
n
n r
D)
 
!
1 !
n
r 
Q12: If 5
n
C = 7
n
C than .............n 
A) 7 B) 5
C) 12 D) None of these
Q13: Which one of the following is true?
A) n
rP = !n
rr C B) n
rC = !n
rP r
C) n
rC = n
rP D) !n n
r rC r P
Q14: 1 1
1 ?n n
r rC C 
 
A) 1n
rC
B) 1
n
rC  C) n
rC D) n
rP
Q15: If 1
3 23 7n n
C C
   then ?n 
A) 5n  B) 4n  C) 6n  D) 10n 
Q16: If 4
n
C = 5
n
C then ...........n 
A) 10n  B) 9n  C) 6n  D) 8n 
Q17: If 6. 4
n
C = 3
n
P , then ?n 
A) 6 B) 7 C) 8 D) 5
Q18: If 220n
rC  and 1320n
rP  , then the values of n
and r are:
A) 12n  , 2r  B) 11, 3n r 
C) 12, 3n r  D) None
Q19: The total No of the diagonals in a ten sided figure is:
A) 40 B) 30 C) 35 D) 20
Q20: 16 16
10 11 ?C C 
A) 16
12C B) 16
10C C) 16
15C D) 17
11C
Answer Key
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20