How many number should be formed by word 'CLIPBOARD' where the combination of the all vowels should be at the end of the word?

There are two teams A and B and each team has 16 players. A team of 11 players is to be selected from these two teams in such a way that there are at least 5 players and maximum 6 players from team A or team B. In how many ways can this team of 11 players be selected?

In how many different ways can the letters of the word 'ARRANGEMENT' be arranged so that the vowels are never together?

Quantity l: How many arrangements can be possible for 5 tables?

Quantity ll: How many arrangements can be possible to arrange 3 men on 10 tables?

There are eight different bags. Also, there are eight apples. In how many ways can the apples be put into bags if there are exactly two apples in exactly one of the bags?
 

8 girls and 3 boys are to be seated in a row on 11 chairs in such a way that all the 8 girls always sit together. In how many different ways can it be done?

Quantity l: There are a total of 7 men in a party and all men shake hands with other men so find the total number of handshakes.

Quantity ll: Reciprocal the probability of getting 1 club face card in two card sets.

What is the probability of drawing two face cards, and then two numbered cards, without replacement?

In how many ways the letters of the word SPECIAL be arranged?

if all possible words are made from letters of the word ‘ DRIVE ‘ and arranged alphabetically in a dictionary Then which word will be 74^th from top ?

There are 2 groups of leaders in the school. Group Aryabhatt consists of 5 members, of which 2 are girls. Group Ramanujan has 8 members, 3 of them being girls. If a girl is chosen as school President, find the probability she is from Group Aryabhatt.

Find the number of ways of choosing 5 men for a job out of 13, of which 2 will always be selected and 1 of them is unavailable for selection due to illness.

There are 5 green balls, 7 blue balls, and 3 red balls in a bag. If 2 balls are chosen at random from the bag, then find the probability that at least one ball is a green ball.

How many words of atleast 2 letters can be formed from the letters of the word CIGAR such that Vowels always occupy the  first 2 position ?

A vault has a digital lock with 4 digits. Each digit can be anything from 0 to 9. Find the maximum number of wrong combinations that one can attempt with opening the vault.

Quantity I: A bag contains 4 red, 4 black, and 3 yellow balls. 3 balls are drawn randomly. What is the probability that the balls drawn are of different colors?

Quantity II: What is the probability of having 53 Mondays in a leap year?

In how many ways can the lettersof the word ‘Agreement‘ be arranged such that A and T are always together and all E’s are never together ?

18 persons shake hands with one another at a meeting. How many shake hands took place?

The word "button" has two letters choosen at random. Find the probability that the letters are B and T.

How many 2-letter words, with or without meaning, may be constructed from the letters in the word 'MEMORIALS' if letter repetition is not permitted?

How many four-letter words (with or without meaning) can be formed using the letters of the word NATURE using each letter only once?

In how many ways can a committee of 5 members be formed from 8 men and 5 women if at least 2 men and 2 women must be on the committee?

In how many ways can a team of 3 students be selected from a group of 8 boys and 7 girls if the team must include at least one boy and one girl?

In how many ways can a committee of 3 members be formed from a group of 7 men and 5 women if the committee must include at least 1 man and 1 woman?

In how many ways can the letters of the word "REMOTE" be arranged?

There are 50 tickets in a lottery box. The number on the tickets is 1, 2, 3, ... 50. One person randomly picks out one ticket from this lottery box. Find the probability that the ticket is a multiple of 4.

In how many different ways can the letters of the word ‘SHIZUKA’ be arranged?

How many 3 digit numbers can be formed from the numbers 2, 4, 5, 6, 7, and 8, which are divisible by 2 and none of the digits is repeated?

4 boys and 8 men are to be seated in a row on 12 chairs in such a way that all 4 men always sit together. In how many different ways can it be done?

2 tetrahedrons numbered 1 to 4 are thrown. Find the probability that the sum of numbers at the base of these tetrahedrons is more than or equal to 5.

Find the number of different ways of forming a committee consisting of 5 men and 4 women from 9 men and 7 women.

A card is drawn at random from a well-shuffled pack of 52 cards. What is the probability of getting a two of hearts or a two diamonds?

Find the probability of selecting 2 vowels (Repetition not allowed) from the given word 'PALAEONTOLOGY'.

Quantity A: Probability of getting at least 1 prime number on dice. Two dice are thrown.

Quantity B: Ratio of the quantity of cheaper apples to total apples. Apples of Rs 22.8 per kg are mixed with Rs 28.4 per kg. The mixture is sold at 8% profit at Rs 27.54 per kg.

In how many ways a committee, consisting of 8 men and 6 women can be formed from 12 men and 12 women?

Quantity I: Two dice are thrown simultaneously, 1^st die shows up 4, what is the probability of sum of digits shown by the two dice being 8?

Quantity II: Two dice are thrown simultaneously, such that each of them always end up getting even number. What is the probability of sum of digits shown by the two dice being 8?

Quantity III: Two dice are thrown simultaneously. Find the probability that the sum of digits shown on both dice is more than 4 and less than 9. 

Quantity A : In an interview, the probability of A to get selected is 0.6, for B to get selected is 0.8 and for C to get selected is 0.5, Find the probability of at least 2 of them having to be selected.

Quantity B : A box contains tickets numbered 1 to 16. 3 tickets are chosen at random, what is the probability that at least 2 of them contain a number which is a multiple of 5.

Quantity A : If we form all possible 4-digit numbers from 0, 2, 3, 5, and 8, and these numbers are arranged in ascending order, then what will be the rank of 3580? (repetition of digits not allowed)

Quantity B : If we form all possible Five digit numbers from 0, 2, 3,5, and 8, then in how many numbers 2 comes before 8? (repetition of digits not allowed)

Balls numbered 1 to 120 are kept in a basket. What is the probability that the drawn ball has a number which is multiple of 3 or 5?

Kishan and Bhavya appear in an interview for a vacancy. The probability of Kishan’s selection is 1/8 and that of Bhavya’s selection is 1/9. What is the probability that only one of them will be selected?

If Sandeep rolled two dices at the same time then what is the probability of getting a sum of 9 or more than 9 on the dices?

There are 4 Red, 2 Green & 2 Blue ball in a bag. If one ball drawn at random from the bag, then find the probability of the ball drawn out is not blue?

How many different words can be formed with the letter of the word “REGRESSIVE”

Find the no. of way to arrange the letters of word ‘ EDUCATION ’

In how many different ways can 2 pens and 3 pencils be selected from 4 pens and 10 pencils?

In how many ways can be letters of the word ‘LIPSTICK’ be arranged?

There are five different bags. Also, there are five different coins. In how many ways can the coins be put into bags?

Dice with numbers from 1 to 6 on its faces is thrown. If the outcome is an even number, it is thrown again, otherwise not. It is known that the dice were thrown 8 times following this condition. In how many cases can the sum of numbers obtained in 8 throws be 28?

Everybody in the room shakes hands with everybody else. The total number of hand-shakes is 91. The total number of persons in the room is:
 

A box contains 7 pink, 5 white, and 8 yellow balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colors.