CBSE Class 11 Permutation and Combinations Worksheet Set 06

Objctive Questions

Question. The value of 

(A) 2n
(B) 2n – 1
(C) 2n – 1
(D) 2n + 1
Answer. B

Question. The number of different words ending and beginning with a consonant which can be made out of the letters of the word EQUATION is
(A) 5200
(B) 4320
(C) 1295
(D) 3000
Answer. B

Question. The total number of arrangements which can be made out of the letters of the word ALGEBRA without altering the relative position of vowels and consonants is
(A) 7!/2!
(B)7!/2!5!
(C) 4!/3!
(D) 4!3! /2!
Answer. D

Question. The numbers of odd number between 1000 and 10,000 can be formed with the digits 1, 2, 3, 4,5, 6, 7, 8, 9 is
(A) 1280
(B) 1836
(C) 2572
(D) 1680
Answer. D

Question. The number of numbers that can be formed by the digits 1,2,3,4,3,2,1, so that the odd digit are at odd places, is given by
(A) 430
(B) 36
(C) 18
(D) none of these
Answer. C

Question. The number of committees of 4 consisting of at least one female member, that can be formed from 6 males and 4 females is
(A) 195
(B) 252
(C) 6
(D) none of these
Answer. A

Question. A polygon has 44 diagonals, then the number of its sides are
(A) 11
(B) 7
(C) 8
(D) none of these
Answer. A

Question. Out of 16 players of cricket team, 4 are bowlers and 2 are wicket keepers. A team of 11 players is to be chosen so as to contains at least 3 bowlers and at least 1 wicket keeper. The number of ways in which the team be selected is
(A) 2400
(B) 2472
(C) 2500
(D) 960
Answer. B

Question. The number of ways a lawn tennis mixed double team can be made up from seven married couples if no husband and wife play in the same set, is
(A) 210
(B) 420
(C) 840
(D) none of these
Answer. B

Question. The total number of different combinationsof letters which can be made from the letters of the word MISSISSIPPI, is
(A) 150
(B) 148
(C) 149
(D) none of these
Answer. C

Question. The total number of proper divisors excluding unity and number of 38808, is
(A) 72
(B) 70
(C) 69
(D) none of these
Answer. B

Question. Passengers are to travel by a double – decker bus which can accomodate 13 persons in the upper deck and 7 in the lower deck. The number of ways of accomodating them, if 5 persons refuse to go to the upper deck and 8 persons refuse to sit in the lower deck, is
(A) 25
(B) 21
(C) 18
(D) none of these.
Answer. B

Question. There are 5 different books on Mathematics, 2 different books on Chemistry and 4 different books on Physics. The number of ways of arranging these books on a shelf so that books of the same subject are stacked together is
(A) 34560
(B) 34650
(C) 111
(D) none of these
Answer. A

Question. The number of rectangles that are found on a chess board is
(A) ⁹C₂ ⁹C₂
(B) ⁸C₂ ⁸C₂
(C) ⁸P₂ ⁸P₂
(D) none of these
Answer. A

Question. The number of squares which can be formed on a chess board, is
(A) 64
(B) 204
(C) 224
(D) none of these
Answer. C

Question. The number of non- negative integral sollutions of x1+ x2 + x3+ 4x4 = 20 is
(A) 536
(B) 530
(C) 532
(D) none of these
Answer. A

Question. The number of times the digit 3 will be written when listing the integers from 1 to 1000, is
(A) 269
(B) 300
(C) 271
(D) none of these
Answer. B

Question. Number of divisors of number 240 of the form 4n + 2, (n ≥ 0) is
(A) 4
(B) 8
(C) 10
(D) none of these.
Answer. A

Question. The number of positive integral solutions of the equation xyz = 3000 are
(A) 200
(B) 300
(C) 3000
(D) 50
Answer. B

Question. The number of ways of selecting 12 balls from unlimited number of red, black, white and green balls is
(A) 286
(B) 84
(C) 455
(D) none of these
Answer. C