How many groups of 6 persons can be formed from 8 men and 7 women - Wikitechy https://www.wikitechy.com/interview-questions/tag/how-many-groups-of-6-persons-can-be-formed-from-8-men-and-7-women/ Interview Questions Mon, 06 Sep 2021 09:33:18 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png How many groups of 6 persons can be formed from 8 men and 7 women - Wikitechy https://www.wikitechy.com/interview-questions/tag/how-many-groups-of-6-persons-can-be-formed-from-8-men-and-7-women/ 32 32 How many groups of 6 persons can be formed from 8 men and 7 women ? https://www.wikitechy.com/interview-questions/permutation-and-combination/how-many-groups-of-6-persons-can-be-formed-from-8-men-and-7-women/ https://www.wikitechy.com/interview-questions/permutation-and-combination/how-many-groups-of-6-persons-can-be-formed-from-8-men-and-7-women/#respond Tue, 17 Aug 2021 20:45:03 +0000 https://www.wikitechy.com/interview-questions/?p=1945

How many groups of 6 persons can be formed from 8 men and 7 women ?

A . 5000

B . 5005

C . 5050

D . None of these

Answer : B . 5005

Explanation:

Total number of person = 8 men + 7 women = 15
No. of groups can be formed of 6 persons = 15C6
= 15! /{6! (15 – 6)!}
= 15! /(6! 9!)
= (15 x 14 x 13 x 12 x 11 x 10)/(6 x 5 x 4 x 3 x 2 x 1)
= 5005

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