SOLUTION: in how many ways could 18 people be divided into five groups containing, respectively 2,5, 6, 1, and 4,people?
The groups can be chosen in
enter your response
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Question 1188651: in how many ways could 18 people be divided into five groups containing, respectively 2,5, 6, 1, and 4,people?
The groups can be chosen in
enter your response here ways.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
There are at least two distinct ways to calculate this number.
(1) Choose the groups one group at a time:
choose 2 of the 18 for the first group;
choose 5 of the remaining 16 for the second;
choose 6 of the remaining 11 for the third;
choose 1 of the remaining 5 for the fourth; and
choose 4 of the remaining 4 for the last:
(2) Using multinomial coefficients:
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