A box contains 6 pink, 5 white, and 4 yellow balls. Five balls are drawn at random. Find out the number of ways of selecting the balls such that 2 pink balls, 1 white and 2 yellow colors are drawn.

How many words can be formed by using all the letters of the word ‘MAHAAN’?

In how many ways a KHO-KHO team of 8 players can be made from 18 players if 2 particular players are never chosen?

In how many ways a football team of 11 players can be made from 23 players if a particular player is never chosen?

8 men are to be seated on a bench. In how many ways can it be done if the youngest man always sits in the middle?

In how many ways can an animal trainer arrange 4 cows and 5 dogs in a row so that no two dogs are together?

There are 6 bulbs in a room and each one of them can be switched on independently. Find the total number of ways in which the room can be illuminated?

There are 9 fans in a hall and each one of them can be switched on independently. Find the total number of ways in which the hall can get air?
 

How many numbers of five-digit can be formed with the digits 0, 2, 4, 5, and 7 (repetition of digits is not allowed)?

From a group of 7 lamps, 5 fans, and 7 bulbs, 4 gadgets are to be chosen such that there is at least one gadget of each type. In how many ways can it be done?

Three fan companies M, N, and O launched 5, 6, and 6 different models respectively. Find the ways in which they can be displayed in a case with 18 slots such that the models of no two companies are mixed together.

Out of 8 men and 5 women, a committee of 3 persons is to be formed. In how many ways can it be formed by selecting at least 2 women?

The number of ways in which 4 different toys can be put in two boxes of different sizes so that no box remains empty is -

In how many different ways can be letters of the word BOOKLET be arranged in such a way that the vowels always come together?

In how many different ways can a group of 6 men and 6 women be formed out of 10 men and 9 women?

In how many different ways can the letters of the word SOFTWARE be arranged such that S and T always come together?

In how many different ways can the letters of the word ‘CANDIDATE’ be arranged in such a way that the vowels always come together?

A group contains n persons. If the number of ways of selecting 6 persons is equal to the number of ways of selecting 9 persons, then the number of ways of selecting four persons from the group is _____

Find the number of four-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 when each digit can occur any number of times in each number.

In how many ways can 10 boys and 10 girls be arranged in a row so that all the girls sit together?

In how many ways can 6 boys and 5 girls be arranged in a row so that boys and girls sit alternately?

Find the number of passwords of length 5 that can be formed using all the vowels of the alphabet.

In how many different ways can the letter of the word “COMPLAINT” be arranged in such a way that vowels occupy only the odd positions?

How many FOUR letter words containing at least one vowel and one consonant can be formed using the letters of the word JUKED so that no word is repeated in the word formed?

In how many different ways can the letters of the word RUMOUR be arranged so that the vowels always come together?

How many four-digit numbers having distinct digits can be formed using the digits 0 to 9?

In how many ways a committee consisting of 4 men and 5 women can be formed from 9 men and 10 women?

In how many ways can 6 boys and 6 girls sit around a circular table so that no two boys sit next to each other?

5 boys and 3 girls are seated in a row such that the 3 girls are always together. In how many different ways they can be seated?

The number of ways of arranging 10 books on a shelf such that two particular books are always together is

8 members are to be selected from a group of 9 males and 7 females. In how many ways will the members with at most 3 females and at least 4 males be selected?

How many the total number of ways in which n distinct objects can be put into 3 different boxes?

The number of ways of forming a committee of six members from a group of 4 men and 6 women is ____

In how many ways the letters of the word DETAIL be arranged so that the vowels do not come together?

From 3 green dyes, 4 red dyes, and 2 yellow dyes, the number of ways in which the dyes can be selected so that at least one green dye and at least one yellow dye are selected is _____

A man gives a party to 8 guests selected from 10 friends. The number of ways of forming the party of 8, given that the two friends will not attend the party together?

From 3 green dyes, 4 red dyes, and 2 yellow dyes, the number of ways in which the dyes can be selected so that at least one green dye and at least one yellow dye are selected is ___

In how many ways can a panel of 6 doctors be formed from 5 surgeons and 6 physicians if the panel has to include more surgeons than physicians(there must be one physician and one surgeon)?

Quantity I: A bucket contains 6 red, 4 blue, and 5 green marbles. If three marbles are drawn at random, what is the probability that none is red?

Quantity II: A bucket contains 6 red, 4 blue, and 5 green marbles. If two marbles are drawn at random, what is the probability that both are green?

If 4 coins are tossed up simultaneously, what is the probability of getting at least 2 heads?

If a coin is tossed thrice, find the probability of getting one or two heads.

An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?

Sumit can't remember the last four numbers of his brother's phone number when he dials it. He dialed at random, remembering only that these digits were different. What is the probability that the number Sumit dialed was the right one?

A bag contains 5 red, 6 black, 4 green, and 3 white marbles. If 2 marbles are drawn randomly from the bag, find the probability that both are white marbles.

A jar contains 3 red marbles, 7 green marbles, and 10 white marbles. If 2 marbles are drawn from the jar at random, what is the probability that the marbles are white?

A factory has three machines — X, Y, and Z — producing a certain type of bulb. Machine X produces 40% of the total bulbs, Y produces 35%, and Z produces 25%. The defect rates are 1.5% for X, 2% for Y, and 2.5% for Z. If a bulb is selected at random, what is the probability that it is defective?

What is the probability of the vowels coming in even places if the letters of the word 'MOBILE' have been arranged in every possible way?

A box contains 2 black, 6 green, and 4 yellow balls. If 2 balls are picked up at random, what is the probability that both are green?
 

If a coin is flipped 5 times, what is the probability that the number of tails obtained is divisible by 2?

There are 4 red pens and 7 green pens. If one randomly draws a pen what is the probability of getting a red pen?