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A person has 8 friends. The number of ways in which he may invite one or more of them toa dinner is.(a) 250 (b) 255 (c) 200 (d) none of these

Question

A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is:

  • (a) 250
  • (b) 255
  • (c) 200
  • (d) none of these
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Solution

To find the number of ways in which the person can invite one or more of his 8 friends to dinner, we can use the concept of combinations.

For each friend, there are two possibilities: either they are invited or they are not invited. Since there are 8 friends in total, we have 2 options for each friend.

Using the multiplication principle, we can multiply these options together to find the total number of ways to invite the friends.

2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2^8 = 256

However, we need to subtract 1 from this total because we are not considering the case where no friends are invited.

Therefore, the correct answer is (b) 255.

This problem has been solved

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