Question
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?Solution
Required number of ways = (⁸C6 × ⁸C₂ + ⁸C5 × ⁸C₃ + ⁸C4 × ⁸C4 + ⁸C₃ × ⁸C5 + ⁸C₂ × ⁸C6) = (28 × 28 + 56 × 56 + 70 × 70 + 56 × 56 + 28 × 28) = 12,740
Anuj and Bhuvan started a business by investing Rs. 4500 and Rs. 4800, respectively. After 6 months, Bhuvan withdrew Rs. 600, and...
- 'A' started a business with Rs. 9,600. After 5 months, 'A' reduced his investment by Rs. 2,400 and 'B' joined the business with Rs. 11,200. At the end of 1...
- 'A' and 'B' entered into a partnership where 'A' invested Rs. 1,500 more than 'B'. 'A' stayed in the business for 8 months, while 'B' stayed for the entire...
Jagan and Magan started a business with a capital of Rs. 36000 and Rs. 63 ,000 and decide to share their profit according to their capital. But Gagan jo...
A, B and C start a business with investing the capital of Rs 1,500, 1,200 and 1,800 respectively. After 5 months, A invests additional amount of Rs. 100...
Ramesh, Rajan and Ritesh enter into partnership by making investments in the ratio 3 : 5 : 7. After a year, Ritesh invests another Rs. 337600 while Rame...
‘A’ and ‘B’ started a business by investing Rs. 12,000 and Rs. 14000, respectively. 12 months later, ‘C’ joined the business by investing Rs...
A and B started a business. After 2 years they got Rs.1456 as profit. Find the ratio of the investments of A and B, if A’s share is Rs.624.
A, B, and C invested Rs. 7200, Rs. 4800, and Rs. x, respectively, in a business for equal time. If the profit received by C is Rs. 2500 out of a total p...
P, Q and R enter into a partnership by investing Rs.5000, Rs.8000 and Rs.5600 respectively. After 4 months, P invested Rs.1400 more and Q withdraw the ...