In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women? Options: A . &nbsp266 B . &nbsp5040 C . &nbsp11760 D . &nbsp86400 E . &nbspNone of these

In how many ways a committee, consisting of 5 men and 6 women can be formed from

Question

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

Answer: Option C

Required number of ways = (⁸C₅ x ¹⁰C₆)

= (⁸C₃ x ¹⁰C₄)

\(\left(\frac{8\times7\times6}{3\times2\times1}\times\frac{10\times9\times8\times7}{4\times3\times2\times1}\right)\)

= 11760.

Was this answer helpful ?

Next Question

Question 1. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at l....one black ball is to be included in the draw?

Question 2. In how many different ways can the letters of the word DETAIL be arranged in such a way that the vowels occupy only the ....a way that the vowels occupy only the odd positions?

Question 3. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?....

Question 4. How many 4-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition....the word, LOGARITHMS, if repetition of letters is not allowed?

Question 5. In how many different ways can the letters of the word MATHEMATICS be arranged so that the vowels always come together?....MATHEMATICS be arranged so that the vowels always come together?

Question 6. In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?....

Question 7. Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit....arranged so that four men can sit on each side.

Question 8. A man positioned at the origin of the coordinate system. the man can take steps of unit measure in the direction North, ....can reach the point (5,6), covering the shortest possible distance.

Question 9. There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that the....that there is exactly one person between the two brothers?

Question 10. There are 6 equally spaced points A, B, C, D, E and F marked on a circle with radius R. How many convex pentagons of dis....different areas can be drawn using these points as vertices?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0