Q. |
There are seven tasks (1, 2, 3, 4, 5, 6, 7) which has to be done by 7 people (A, B, C, D, E, F, and G). Each person can do only 1 task. Task 1 can be done by A or B or C. Tasks 4 and 5 can not be done by either F or G. In how many can the tasks be accomplished? |
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A. 1728 |
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B. 864 |
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C. 5040 |
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D. 216 |
Task 1 can be done in 3 ways (Either A or B or C)
Task 4 can be done in 4 ways (One of A/B/C is out and F& G out)
Task 5 can be done in 3 ways (One of A/B/C is out. F & G out and one of the rest is also out for task 4)
Other tasks can be done in 4 × 3 × 2 × 1 ways
So total number of ways = 3 × 4 × 3 × 4 × 3 × 2 ×1 =864 ways