Instead of one committee, we decide to form two six-person committees. Each employee can be on at most one committee. How many ways can we form these committees, if employee happiness is not taken into consideration?

116,396,280 ways

Step-by-step explanation:

Two six-person committees are to be formed from 20 people.

The first 6 person committee can be formed in

²⁰C₆ ways = 38760 ways.

After forming this committee, there are 14 people left.

The second 6 person committee can be formed in

¹⁴C₆ ways = 3003 ways

The two committees can be formed in

38760 × 3003 ways = 116,396,280 ways

muyb ajo

step-by-step explanation:

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