# in how many ways can a group of 4 men and 2 women be made out of a total of 6 men and 3 women?

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11.

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?

A. 63 B. 90 C. 126 D. 45 E. 135

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12.

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

A. 40 B. 400 C. 5040 D. 2520

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13.

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

A. 10080 B. 4989600 C. 120960 D. None of these

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14.

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

A. 120 B. 720 C. 4320 D. 2160 E. None of these

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## 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

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Class 11 >>Maths

>>Permutations and Combinations

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>>In how many ways can a group of 5 men an

Question

## 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

**A**

## 90

**B**

## 126

**C**

## 63

**D**

## 43

Easy Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is C)

Out of 7 men and 3 women , a group of 5 men and 2 women can be made by7 C 5 × 3 C 2 =63

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

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

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

Question

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

A 63 B 45 C 126 D 90 E None of these Open in App Solution

The correct option is **D** 63

There are 7 men and 3 women. We have to select 5 men out of 7 and 2 women out of 3.

This can be done is 7 C 5 × 3 C 2 ways. ∴

The number of ways of making the selection

= 7 C 5 × 3 C 2 = 7 × 6 1 × 2 × 3 × 2 1 × 2 = 63 Suggest Corrections 4

SIMILAR QUESTIONS

**Q.**

In how many different ways a group of 4 men and 4 women be formed out of 7 men and 8 women?

**Q.**A committee of 8 persons is to be constituted from a group of 5 women and 7 men. In how many ways can this be done? In how many ways can the committee be formed if it consists of atleast 3 women and 3 men? What value is depicted by taking men and women in forming the committee?

**Q.**

In how many ways can a committee of 5 be made out of 6 men and 4 women containing at least one women ?

**Q.**In how many ways a committee of 5 members can be selected from 6 men and 5 women, consisting 3 men and 2 women ?

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

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