Multiple choice

Find the number of ways in which 8 men out of 12 men can be selected such that 2 particular men are always included and 3 particular men are always excluded?

  1. 6

  2. 7

  3. 8

  4. 9

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

We need to select 8 men from 12, with 2 particular men always included and 3 particular men always excluded. Since 2 are included and 3 are excluded, we have 12 - 2 - 3 = 7 men available to choose from. We need to select 8 - 2 = 6 more men from these 7. The number of ways is C(7,6) = 7.

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