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In a question paper, there are four multiple choice type questions, each question has five choices with only one choice for it’s correctanswer.
What is the total number of ways in which a candidate will not get all the four answers correct
120
624
19
1024
A group of 10 representatives is to be selected out of 12 seniors and 10juniors.
In how many different ways can the group be selected if it should have at least one senior
²²C₉ + ¹⁰C₁
²²C₁₀ - 1
²²C₁₀
²²C₁₀ + 1
NONE OF THESE
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -
2160
4000
4160
4320
5300
A question paper consists of five problems, each problem having three internalchoices.
In how many ways can a candidate attempt one or more problems
511
15
31
63
1023
In a class there are 20 boys and 25girls.
In how many ways can a boy and a girl be selected
25
600
400
500
20
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
240
60
120
360
100
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)
180
240
360
300
60
A committee has 5 men and 6women.
What are the number of ways of selecting a group of eight persons
NONE OF THESE
225
185
205
165
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected
NONE OF THESE
20
60
100
30
The number of permutations of the letters of the word 'MESMERISE' is_
8!/(2!)2 (3!)2
9!/(2!)2 (3!)2
5!/(2!)2 3!
9!/(2!)3 3!
9!/(2!)2 3!
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places
720
120
144
204
36
Using all the letters of the word "THURSDAY", how many different words can be formed
8!
8
7
6!
7!
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed
5040
2520
400
40
In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"
30
40
20
25
13
A mixed doubles tennis game is to be played two teams
(each consists of one male and one female) There are four marriedcouples.
No team is to consist a husband and hiswife.
What is the maximum number of games that can be played
36
48
12
42
A two number committee comprising of one male and the female number is to be constituted out of five male and 3females.
Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted
30
20
14
11
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women
90
63
126
45
In how many ways can live boys and three girls sit in a row such that all boys sit together
1440
15000
2880
5760
4800
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is -
119
120
24
23
NONE OF THESE
A student has to opt for 2 subjects out of 5 subjects for acourse.
Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has alsoopted.
The number of different combinations of two subjects which can be opted is
6
7
5
18
1
2
3
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