Home
Class 12
MATHS
A contest consists of ranking 10 songs o...

A contest consists of ranking `10` songs of which `6` are Indian classic and `4` are westorn songs. Number of ways of ranking so that, There are exactly `3` indian classic songs in top `5` is `(5!)^(3)`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`(a,b,c,d)`
`(a) ^(6)C_(3)^(4)C_(2)5!5! =(5!)^(3)`
`(b) ^(6)C_(1)9!`
`(c ) (6+1)!4!`
`(d) ^(10)P_(4)`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Comprehension|8 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Comprehension|8 Videos

  • PARABOLA

    CENGAGE PUBLICATION|Exercise Matching Column Type|1 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

Similar Questions

Explore conceptually related problems

A closet has 5 pairs of shoes. The number of ways in which 4 shoes can be chosen from it so that there will be no complete pair is

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

Three boys of class X, four boys of class XI, and five boys of class XII sit in a row. The total number of ways in which these boys can sit so that all the boys of same class sit together is equal to a. (3!)^2(4!)(5!) b. (3!)(4!)^2(5!) c. (3!)(4!)(5!) d. (3!)(4!)(5!)^2

A box contains 12 lamps of which 5 are defective . In how many ways can a sample of 6 be selected at random from the box so as to include at most 3 defective lamps ?

The number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is beween two boys, is-

The total number of ways in which 5 balls of different colours can be distributed among 3 persons, so that each person gets atleast one ball is

Find the number of ways in which 6 men and 5 women can dine at around table if no two women are to sit so together.

A set of numbers consisting of three 4's, five 5's, six 6's, eight 8's and seven 10's. The mode of this set of numbers is

A number of four different digits is formed with the help of the digits 1, 2, 3, 4, 5, 6, 7 in all possible ways. Find How many of these are exactly divisible by 4 ?

A group consists of 4 girls are 7 boys. In how many ways can a team of 5 members be selected if the team has at least 3 girls ?