in how many ways can we select a committee of four persons that has at least one woman - Wikitechy https://www.wikitechy.com/interview-questions/tag/in-how-many-ways-can-we-select-a-committee-of-four-persons-that-has-at-least-one-woman/ Interview Questions Mon, 13 Sep 2021 09:17:40 +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 in how many ways can we select a committee of four persons that has at least one woman - Wikitechy https://www.wikitechy.com/interview-questions/tag/in-how-many-ways-can-we-select-a-committee-of-four-persons-that-has-at-least-one-woman/ 32 32 There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed ? https://www.wikitechy.com/interview-questions/permutation-and-combination/there-are-25-students-in-a-class-find-the-number-of-ways-in-which-a-committee-of-3-students-is-to-be-formed/ https://www.wikitechy.com/interview-questions/permutation-and-combination/there-are-25-students-in-a-class-find-the-number-of-ways-in-which-a-committee-of-3-students-is-to-be-formed/#respond Tue, 17 Aug 2021 21:00:25 +0000 https://www.wikitechy.com/interview-questions/?p=1953

There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed ?

A . 2200

B . 2300

C . 2400

D . 3200

Answer : D . 3200

Explanation:

The number of ways = 25c3
= (25 x 24 x 23) / (1 x 2 x 3)
= 2300

]]> https://www.wikitechy.com/interview-questions/permutation-and-combination/there-are-25-students-in-a-class-find-the-number-of-ways-in-which-a-committee-of-3-students-is-to-be-formed/feed/ 0 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

]]> https://www.wikitechy.com/interview-questions/permutation-and-combination/how-many-groups-of-6-persons-can-be-formed-from-8-men-and-7-women/feed/ 0 In how many ways, a group of 3 boys and 2 girls can be formed out of a total of 4 boys and 4 girls ? https://www.wikitechy.com/interview-questions/permutation-and-combination/in-how-many-ways-a-group-of-3-boys-and-2-girls-can-be-formed-out-of-a-total-of-4-boys-and-4-girls/ https://www.wikitechy.com/interview-questions/permutation-and-combination/in-how-many-ways-a-group-of-3-boys-and-2-girls-can-be-formed-out-of-a-total-of-4-boys-and-4-girls/#respond Tue, 17 Aug 2021 20:01:43 +0000 https://www.wikitechy.com/interview-questions/?p=1927

In how many ways, a group of 3 boys and 2 girls can be formed out of a total of 4 boys and 4 girls ?

A. 15

B. 16

C. 20

D. 24

E. None

Answer : D. 24

Explanation:

Total number of ways = ( select 3 boys from group of 4 boys ) * ( 2 girls from group of 4 girls )
= ( 4C3 ) * ( 4C2 )
= 24

]]> https://www.wikitechy.com/interview-questions/permutation-and-combination/in-how-many-ways-a-group-of-3-boys-and-2-girls-can-be-formed-out-of-a-total-of-4-boys-and-4-girls/feed/ 0