Permutation and CombinationHard
Question
Six married couple are sitting in a room. Number of ways in which 4 people can be selected so that there is exactly one married couple among the four is:
Options
A.240
B.255
C.360
D.480
Solution
First we select one married couple out of 6 married couple i.e.
6C1 ways
total number of required case
6C1 × 5C1 × 4C1 × 2 = 6 × 5 × 4 × 2 = 240
6C1 ways
total number of required case
6C1 × 5C1 × 4C1 × 2 = 6 × 5 × 4 × 2 = 240
Create a free account to view solution
View Solution FreeMore Permutation and Combination Questions
How many numbers lying between 100 and 1000 can be formed with the digits 1,2,3,4,5 if the repetition of digits is not a...The number of 4-digits numbers formed with 0,2,3,4,5, and divisible by 5 is (Rept. not allowed)...The sum of all numbers greater than 1000 formed by using the digits 1, 3, 5, 7 such that no digit is being repeated in a...The number of ways to make 5 heaps of 3-3 books each from 15 different books a-......