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Permutations Combinations
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The letters of word RANDOM are written in all possible orders and these words are written out as indictionary.
Then the rank of the word RANDOM is
615
613
614
616
The number of arrangements of letters of the word BANANA in which the two N do not appear ad jointly is
80
60
40
100
A fruit basket contains 4 oranges, 5 apples and 6mangoes.
The number of ways a person make selection of fruits from among the fruits in the basket is
208
209
NONE OF THESE
210
12 persons are to be arranged on a roundtable.
If two particular persons among them are not to sit side by side, the number of arrangements is
2 (10 !)
9 (10 !)
45 (8 !)
10 !
The sum of the digits at the tens place of all the numbers formed with the help of 3,4,5,6 taken all at a time is
432
108
36
18
A box contains 2 white balls, 3 black balls and 4 redballs.
The number of ways in which three balls can be drawn from the box so that at least one of the balls is black is
74
84
64
20
The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 but using each digit not more than once in each number is
1600
1630
1200
1500
Passengers are to travel by double decked bus which can accommodate 13 in the upper deck and 7 in the lowerdeck.
The number of ways that they can be distributed if 5 refuse to sit in the upper deck and 8 refuse to sit in the lower deck is
21
15
25
18
All letters of the word AGAIN are permuted in all possible ways and the words so formed (with or without meaning )are written as in dictionary, then the 50 word is
NAAGI
NAAIG
LAANG
INAGA
The number of words that can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS is
2550
2454
2500
3000
The sides AB, BC, CA of a triangle ABC have 3, 4, and 5 interior points respectively onthem.
The number of triangles that can be constructed using these points as vertices is
205
220
210
200
In an examination, there are three multiple choice questions and each question has 4choices.
Number of sequences in which student can fail to get all answers correct is
15
63
80
11
Out of 8 sailors on a boat, 3 can work only on one side and 2 only on the otherside.
The number of ways the sailors can be arranged on the boat is
1728
1736
1700
1720
An n-digit number is a positive number with exactly ndigits.
Nine hundred distinct n-digit numbers are to be formed using only the three digits 2,5 and 7.The smallest value of N for which this is possible is
9
7
8
6
Six points in a plane be joined in all possible ways by indefinite straight lines and if no two of them be coincident or parallel and no three pass through the same point(with the exceptions of the original
6).The number of distinct points of intersection is equal to
105
51
NONE OF THESE
45
If the permutations of A,B,C,D,E taken all together be written down in alphabetical order as in dictionary and numbered, then the rank of the permutation DEBAC is
92
93
91
90
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that odd digits occupy even positions
36
180
60
16
The number of 3 digits numbers lying between 100 and 999 inclusive and having only two consecutive digits identical is
100
162
150
NONE OF THESE
The total number of 9 digit numbers which have all different digits is
10 . 10 !
9 . 9 !
9 !
10 !
If ? denotes the number of permutations of x+2 things taken all at a time the number of permutation of x things taken 11 at a time and c the number of permutations of x-11 things taken all at a time such that a=182 bc, then the value of x is
18
12
10
15
1
2
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