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    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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    Permutation and Combination

    This is the aptitude questions and answers section on "Permutation and Combination" with explanation for various interview, competitive examination and entrance test. Solved examples with detailed answer description, explanation are given and it would be easy to understand - Page 3.

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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

    >>Combinations

    >>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 by

    7 C 5 ​ × 3 C 2 ​ =63

    Solve any question of Permutations And Combinations with:-

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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?

    View More

    स्रोत : byjus.com

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    Mohammed 7 day ago
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