In how many different ways can 4 blue beads and 3 red beads be arranged in a row such that all the blue beads are together and all the red beads are together

Required no. of ways = 4! x 3! x 2!

- In how ways can the selection be made so that a particular member is always included?
- An examinee is required to answer the eight questions out of 16 questions which are divided into two groups each containing eight questions each and he is not permitted to answer more than six questions from any group. In how many ways can he answer the eight questions?
- Akshay has 7 relatives, 3 males and 4 females. His wife twinkle also have 7 relatives, 3 females and 4 males. In how many ways can they invite 3 male and 3 females so that 3 of them are Akshay’s relatives and 3 of his wife twinkle?
- Girls are always together?
- From 6 officers and 8 Jawans, in how many ways can 5 be chosen to include exactly 3 officers?
- Out of 6 men and 3 women a committee of 3 members is to be formed so that it has 2 men and 1 woman. In how many different ways can this be done?
- Which of the following is TRUE for “complementary event or ‘not event’”?
- In how many different ways can the letters of the word 'COMPUTER' be arranged in such a way that the vowels always come together?
- How many 8 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 1, 2, 4 ?
- How many numbers of five digits may be formed with the digits 5, 0, 9, 0, and 6?

More Permutation and combination Questions

×