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- 11. A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?

A.

^{9}C_{2}B.

^{3}C_{2}C.

^{16}C_{2}D.

^{12}C_{2}
Answer & Explanation

Answer: Option C

Explanation:**Total number of balls = 9 + 3 + 4**

Two balls can be drawn from 16 balls in

Two balls can be drawn from 16 balls in

^{16}C_{2}ways.- 12. In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?

A.25

B.30

C.35

D.40

Answer & Explanation

Answer: Option B

Explanation:**The word contains five consonants. Three vowels, three consonants can be selected from five consonants in**

3 consonants and 2 vowels can be selected in

^{5}C_{2}ways, two vowels can be selected from three vowels in^{3}C_{2}ways.3 consonants and 2 vowels can be selected in

^{5}C_{2}.^{3}C_{2}ways i.e., 10 x 3 = 30 ways.- 13. In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?

A.400

B.600

C.500

D.200

Answer & Explanation

Answer: Option C

Explanation:

**We can select one boy from 20 boys in 20 ways.
We select one girl from 25 girls in 25 ways
We select a boy and girl in 20 x 25 ways i.e., = 500 ways.**

- 14. A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?

A.632

B.1023

C.521

D.151

Answer & Explanation

Answer: Option B

Explanation:**Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted. Hence, the required number of ways = 4**

= 2

^{5}- 1.= 2

^{10}- 1 = 1024 - 1 = 1023- 15. In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?

A.

^{6}C_{4}^{7}C_{3}B.

^{6}C_{3}^{7}C_{4}C.

^{6}C_{3}^{7}C_{2}D.

^{5}C_{3}^{7}C_{4}
Answer & Explanation

Answer: Option B

Explanation:**The group contain six men and seven women**

Three men can be selected from six men in

Four women can be selected from seven women in

Total number of ways = (

Three men can be selected from six men in

^{6}C_{3}ways.Four women can be selected from seven women in

^{7}C_{4}ways.Total number of ways = (

^{7}C_{4})(^{6}C_{3}).**To whom this Permutations Questions and Answers section is beneficial?**

Students can learn and improve on their skillset for using Verbal Ability effectively and can also prepare for competitive examinations like...

- All I.B.P.S and Public Sector Bank Competitive Exam
- Common Aptitude Test (CAT) Exams
- UPSC Paper-II or CSAT Exams
- SSC Competitive Exams
- Defence Competitive Exams
- L.I.C / G.I.C AO and Clerk Competitive Exams
- Railway Competitive Exam
- University Grants Commission (UGC)
- Career Aptitude Test (IT Companies) and etc.