The sum of all possible numbers greater than 2000 formed by using the digits 2,3,4,5 is
93324
96324
92324
36680
If 12Pr = 11P6 + 6 11P5, then r =
6
5
7
None of these
A gentleman invites a party of 10 guests to a dinner and places 6 of them at one table and the remaining 4 at another, the tables being around. The number of ways in which he can arrange the guests is
152100
151200
115200
123100
In an experiment of rolling 2 dice, the probability that, the dots on the second die is less than that on the first die is
5/12
7/12
11/36
13/36
A: If there are 8 points in a plane no three of which are on the same straight line except 4 points are collinear then the number of straight lines formed by joining them is 23 R: If there are n points in a plane no three of which are on the same straight lie except p points are collinear then the number of straight lines formed by joining them is nC2 – pC2 +1
Both A and R are true and R is the correct explanation of A
Both A and R are true and R is not the correct explanation of A
A is true but R is false
A is false but R is true
The number of four digited numbers that can be formed from using the digits 2,4,5, 7,8 that are divisible by 4 is
72
36
24
12
The number of 4 digited numbers that can be formed using the digits 0,1,2,3,4 that are divisible by 4 when repetition is allowed is
200
300
900
2160
The number of ways a pack of 52 cards can be divided amongst four players in 4 sets, three of them having 17 cards each and the fourth one just 1 card is
52!
17!
52!/(17!)3
52!x17!
The number of 4 digited numbers that can be formed using the digits 0,1,2,3,4,5 that are divisible by 5 when repetition is allowed is
A fruit basket contains 4 oranges, 5 apples, 6 mangoes. The number of ways a person make selection of fruits from among the fruits in the basket is
210
209
18
The number of four digited numbers which are not divisible by 5 that can be formed from by using the digits 0,2,4,5 is
2
4
8
The number of 4 letters word that can be formed from using the letters of word DELHI which begin and end with an vowel when repetitions are allowed is
1029
207
343
2401
A set contains (2n+1) elements. The number of subsets of the set which contain most n elements is
2n
2n+1
2n-1
22n
The number of ways in which 5 red balls and 4 black balls of different sizes can be arranged in a row so that two balls of the same colour come together is
2880
3240
4420
5230
If a denotes the number of permutations of x+2 things taken all at a time, b the number of permutations of x-11 things taken all at a time such that a=182bc, then the value of x is
15
10
If a is the number of ways of selecting 3 men from 6 men, b is the number of ways of selecting 2 men, 1 woman from 4 me and 2 women and c is the number of ways of selecting 1 man, 2 women from 3 men and 3 women then the ascending of a,b,c is
a,b,c
b,c,a
c,b,a
c,a,b
Three persons A,B,C are to speak at a function along with 7 other persons.If the person speak in random order,the probability that A speaks before B and B speaks before C is
3/8
1/6
3/5
none of these
The number of ways that 12 prizes can be divided among 4 students so that each may have 3 prizes is
15,400
15,300
15,151
369600
If nPr =30240 and nCr=252then the ordered pair (n, r) is equal to
(12, 6)
(10, 5)
(9, 4)
(16, 7)
The number of 5 digit numbers of different digits can be formed with 2 even and 3 odd digits is
5C2. 5C3.5!
4C2. 5C3.5!
4C1. 5C3.4(4!)
4C2. 5C3.5!+ 4C1. 5C3.4(4!)
The sum of divisors of 253453 is
60
120
1189188
1378154
If 20Pr : 20Pr-1 = 15 : 1 then r =
14
The number of ways in which 5 boys and 4 girls can sit in a row so that all the girls come together and 2 particular girls never be together is
86200
84600
80460
8640
A boats crew consists of 16 men, 6 of whom can only row on one side and 4 only on the other. The number of ways in which the crew can be arranged 8 on each side is
16C4x8!x8!
6C2x8!x6!
16C6x8!x8!
6C2x8!x8!
The number of odd numbers between 1000 and 10000 can be formed with the digits 1,2,3,4,5,6,7,8,9 is
1280
1836
2572
1680
1 /3 – 1! + 1 / 4.2! + 1 / 5.3! +………. =
1 /2
1 /4
1/8
The number of numbers less than 2000 that can be formed using the digits 1,2,3,4 when repetition is allowed is
84
148
180
1440
S1, S2,....., S10 are the speakers in a conference. If S1 addresses only after S2, then the number of ways the speakers address is :
10!
9!
10 x 8 !
(10!)/2
In how many ways can 52 cards be divided among 4 players so that each may have 13 is
52!/(13!)4
48!/(12!)4
40!/(10!)4
60!/(15!)4
The number of ways in which the following prizes be given to a class of 20 boys, first and second in Mathematics, first and second in Physics, first in Chemistry and first in English is
204x192
203x193
202x194
none