A to Z Exams

S1, S2,....., S10 are the speakers in a conference. If S1 addresses only after S2, then the number of ways the speakers address is :

(i): If 12Cr+1=12C3r-5, then r=3 or 4 (ii): 9C3+9C5=10Cr, then r=4 or 6

The sum of numbers formed by talking all the digits 2,4,6,8 is

The sum of all four digited that can be formed, using  the digits 0,2,4,7,8 without repetition is

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

The number of 3 letter words formed that containing atleast one vowel from the letters a,b,c,d,e,f is

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

In a class of 10 students, there are 3 girls A,B,C.The number of different ways that they can be arranged in a row such that no two of the three girls are consecutive is

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

In how many ways 4 sovereigns be given away, when there are 5 applicants and any applicant may have either 0,1,2,3or4 sovereigns?

If 12Pr = 11P6 + 6 11P5, then r =

The number of numbers greater than 1000 but not greater than 4000 that can be formed with the digits 0,1,2,3,4 repetition of digits being allowed is

If 20Pr : 20Pr-1 = 15 : 1 then r =

Two dice are rolled simultaneously. The probability of getting an even number and an odd number is

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

There are four balls of different colours and four boxes of colours same as those of the balls. The number of ways in which the balls, one each in a box could be placed such that a ball does not go to a box of its own colour is

The number of 5 digit numbers of different digits can be formed with 2 even and 3 odd digits is

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

The probability that in a family of 4 children there will be at least one boy is

The number of ways that all the letters of the word SWORD can be arranged such that no letter is in its original position is

A set contains (2n+1) elements. The number of subsets of the set which contain more than n elements is

The number of arrangements of arranging 6 players to throw the cricket ball so that the oldest player may not throw first is

The number of 6 digited numbers which are not divisible by 5 that can be formed with the digits 4,5,6,7,8,9 is

The number of numbers less than 2000 that can be formed using the digits 1,2,3,4 when repetition is allowed is

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

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

The number of numbers between 1 and 1010 which contain the digit 1 is

The number of ways in which 7 distinct boys can be distributed among 3 children when each child is eligible to take all the toys is

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

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…….. The number of these integers that are greater than 3000 is