Permutation and Combination Mock Test 02
: Question
1
of 25

There are four chairs with two chairs in each row. In how many ways can four persons be seated on the chairs, so that no chair remains unoccupied ? There are four chairs with two chairs in each row. In how many ways can four persons be seated on the chairs, so that no chair remains unoccupied ?

1 Mark(s)

6464

4848

2424

1212

How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions ? How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions ?

1 Mark(s)

6060

1616

3636

256256

Every body in a room shakes hands with every body else. If total number of hand-shaken is 66, then the number of persons in the room is Every body in a room shakes hands with every body else. If total number of hand-shaken is 66, then the number of persons in the room is

1 Mark(s)

1010

1111

1212

1313

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

1 Mark(s)

72007200

60006000

48004800

24002400

Number of different ways in which 8 persons can stand in a row so that between two particular person A and B there are always two person is Number of different ways in which 8 persons can stand in a row so that between two particular person A and B there are always two person is

1 Mark(s)

1111

1313

1515

1616

Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 (using repetition allowed) are Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 (using repetition allowed) are

1 Mark(s)

120120

360360

240240

720720

Four couples (husband and wife) decide to form a committee of four members, then the number of different committees that can be formed in which no couple finds a place is Four couples (husband and wife) decide to form a committee of four members, then the number of different committees that can be formed in which no couple finds a place is

1 Mark(s)

1515

1616

1717

1818

The sum of the digits in the unit place of all the numbers formed with the help of 3, 4, 5, 6 taken all at a time is The sum of the digits in the unit place of all the numbers formed with the help of 3, 4, 5, 6 taken all at a time is

1 Mark(s)

432432

108108

3636

1818

In how many ways 3 mathematics books, 4 history books, 3 chemistry books and 2 biology books can be arranged on a shelf so that all books of the same subjects are together? In how many ways 3 mathematics books, 4 history books, 3 chemistry books and 2 biology books can be arranged on a shelf so that all books of the same subjects are together?

1 Mark(s)

4147241472

36003600

44004400

3602036020

In an examination, there are three multiple choice questions and each question has 4 choices. Number of ways in which a student can fail to get all answers correct is : In an examination, there are three multiple choice questions and each question has 4 choices. Number of ways in which a student can fail to get all answers correct is :

1 Mark(s)

1111

1212

2727

6363

The number of ways a student can choose a programme out of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student is The number of ways a student can choose a programme out of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student is

1 Mark(s)

3535

2424

120120

None of theseNone of these

Number of words from the letters of the words BHARAT in which B and H will never come together is Number of words from the letters of the words BHARAT in which B and H will never come together is

1 Mark(s)

240240

120120

360360

256256

There are four bus routes between A and B; and three bus routes between B and C. A man can travel round-trip in number of ways by bus from A to C via B. If he does not want to use a bus route more than once, in how many ways can he make round trip? There are four bus routes between A and B; and three bus routes between B and C. A man can travel round-trip in number of ways by bus from A to C via B. If he does not want to use a bus route more than once, in how many ways can he make round trip?

1 Mark(s)

144144

1212

7272

240240

The number of ways in which 3 prizes can be distributed to 4 children, so that no child gets all the three prizes, are The number of ways in which 3 prizes can be distributed to 4 children, so that no child gets all the three prizes, are

1 Mark(s)

6464

6262

6060

None of theseNone of these

The number of ways in which four letters of the word MATHEMATICS can be arranged is given by The number of ways in which four letters of the word MATHEMATICS can be arranged is given by

1 Mark(s)

24542454

16481648

13601360

16001600

A bag contains 3 black, 4 white and 2 red balls, all the balls being different. Number of selections of atmost 6 balls containing balls of all the colours is A bag contains 3 black, 4 white and 2 red balls, all the balls being different. Number of selections of atmost 6 balls containing balls of all the colours is

1 Mark(s)

10081008

10801080

10481048

10241024

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is

1 Mark(s)

6060

1818

2424

6060

Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is

1 Mark(s)

2020

99

3030

1010

If a secretary and a joint secretary are to be selected from a committee of 11 members, then in how many ways can they be selected ? If a secretary and a joint secretary are to be selected from a committee of 11 members, then in how many ways can they be selected ?

1 Mark(s)

110110

5555

2222

1111

Number of words each containing 3 consonants and 2 vowels that can be formed out of 5 consonants and 4 vowels is Number of words each containing 3 consonants and 2 vowels that can be formed out of 5 consonants and 4 vowels is

1 Mark(s)

72007200

60006000

10001000

45004500

How many arrangements can be made out of the letters of the word “ MOTHER” taken four at a time so that each arrangement contains the letter ´M´? How many arrangements can be made out of the letters of the word “ MOTHER” taken four at a time so that each arrangement contains the letter ´M´?

1 Mark(s)

240240

120120

360360

6060

If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number

1 Mark(s)

600600

601601

602602

603603

Number of different seven digit numbers that can be written using only the three digits 1, 2 and 3 with the condition that the digit 2 occurs twice in each number is Number of different seven digit numbers that can be written using only the three digits 1, 2 and 3 with the condition that the digit 2 occurs twice in each number is

1 Mark(s)

625625

3232

256256

652652

In how many ways can a bowler take four wickets in a single 6-ball over ? In how many ways can a bowler take four wickets in a single 6-ball over ?

1 Mark(s)

66

1515

2020

3030

The number of chords that can be drawn through 21 points on a circle, is The number of chords that can be drawn through 21 points on a circle, is

1 Mark(s)

190190

210210

200200

None of theseNone of these

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