Question
From 10 musicians and 5 singers, a band of 8 members is to
be formed. In how many ways can the band be formed such that there are at least 6 musicians?Solution
Case I: 6 musicians and 2 singers
Number of ways = 10C6 × 5C2 = 210 × 10 = 2100 ways
Case II: 7 musicians and 1 singer
Number of ways = 10C7 × 5C1 = 120 × 5 = 600 ways
Case III: 8 musicians and 0 singers
Number of ways = 10C8 × 5C0 = 45 × 1 = 45 ways
Total number of ways = 2100 + 600 + 45 = 2745 ways
Aman, Bhanu, and Chinu can complete a piece of work individually in 20 days, 30 days, and 60 days, respectively. How many days wi...
A company has 600 employees. It plans to increase its workforce by 15% in the next year. Additionally, due to a reorganization, 10% of the current emplo...
Which of the following software is also known as the end-user program?
(32) -3/5 = ?
The number of tangents that can be drawn from the point (2, 2) to the circle x² + y² = 8 is:
The sum of the ages of a father and his son is 50 years. Five years ago, the father's age was four times that of his son. What are their current ages? ...
55-litres of paint is added to a mixture of paint and oil in the ratio 3:5. The ratio of paint and oil in the resulting mixture is 4:3. Find the total v...
In a 500-meter race, competitor 'P' runs at a speed of 18 km/h and allows a head start of 25 meters to competitor 'Q,' who eventu...
The selling prices of articles A and B are in a ratio of 4:5. If the shopkeeper made a profit of Rs. 400 on article A and a 30% profit on article B, and...
Relevant for Exams:
