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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
616
614
613
The number of arrangements of letters of the word BANANA in which the two N do not appear ad jointly is
80
40
100
60
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
NONE OF THESE
209
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
9 (10 !)
10 !
2 (10 !)
45 (8 !)
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
18
108
36
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
64
20
84
74
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
1500
1200
1630
1600
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
INAGA
NAAIG
NAAGI
LAANG
The number of words that can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS is
2454
2550
3000
2500
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
200
205
220
210
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
11
63
80
15
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
1720
1736
1700
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
8
9
7
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
NONE OF THESE
51
45
105
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
90
93
91
92
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that odd digits occupy even positions
16
60
36
180
The number of 3 digits numbers lying between 100 and 999 inclusive and having only two consecutive digits identical is
162
100
NONE OF THESE
150
The total number of 9 digit numbers which have all different digits is
10 !
9 !
9 . 9 !
10 . 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
12
15
18
10
1
2
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