PERMUTATIONS AND COMBINATIONS MATHS - PERMUTATIONS AND COMBINATIONS

The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is.

How many 3 - letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed:

In a chess tournament each of six players will play every other player exactly once. How many matches will be played during the tournament?

In a crossword puzzle, 20 words are to be guessed of which 88 words have each an alternative solution also.The number of possible solutions will be:

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: atmost 3 girls?

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: atleast 3 girls?

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: exactly 3 girls?

How many words with or without, meaning can be formed using all the letters of the word EQUATION, using each letter exactly once?

In how many ways can the letters of the word ASSASSINATION be arranged so that all the S's are together?

In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?

A bag contains 5 black balls and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected from the lot.

In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?

Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.

It is required, to seat 5 men, and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?

Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.

In an examination a question paper consist of 12 questions divided into two parts i.e. part I and part II containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?

The English alphabet has 5 vowels and 21 consonants. How many words with 2 vowels and 2 different consonants can be formed from the alphabet?

How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and, no digit is repeated?

What is the number of ways of choosing 4 cards from a pack of 52 playing cards? In how many of these cards are of the same colour.

What is the number of ways of choosing 4 cards from a pack of 52 playing cards? In how many of these two are red cards and two are black cards.

What is the number of ways of choosing 4 cards from a pack of 52 playing cards? In how many of these are face cards.

What is the number of ways of choosing 4 cards from a pack of 52 playing cards? In how many of these four cards belong to four different suits.