Math, asked by mohammedfaizan3801, 1 year ago

In how many ways 9 friends - alok, badal, carol, dorothy, emily, frank, govind, harish and indivar; be divided equally into 3 groups?

Answers

Answered by amitnrw
2

in 280 ways  9 friends - alok, badal, carol, dorothy, emily, frank, govind, harish and indivar; be divided equally into 3 groups

Step-by-step explanation:

Group 1 Can be selected in ⁹C₃ = 9 * 8 * 7 / (3 * 2 * 1)  =84 Ways

Group 2 Can be selected in ⁶C₃ = 6 * 5 * 4/ (3 * 2 * 1)  = 20 Ways

Group 3 Can be selected in ³C₃ = 1 Ways

Three groups can be arranged in 3! = 6 Ways

Total number of Ways = 84 * 20 * 1 / 6

= 14 * 20

= 280

in 280 ways  9 friends - alok, badal, carol, dorothy, emily, frank, govind, harish and indivar; be divided equally into 3 groups

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