Multiple Choice Questions on A select group of 4 is to be formed 8 men and 6 women in such a way that the group must have atleast........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A select group of 4 is to be formed 8 men and 6 women in such a way that the group must have atleast...........

Quantitative Aptitude ( CCS) Permutation & Combination
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    A select group of 4 is to be formed 8 men and 6 women in such a way that the group must have atleast one woman. In how many different ways can it be done?
     
     
     
     

    364 

    Incorrect Answer

    1001
     

    Incorrect Answer

    728

    Incorrect Answer

    931

    Correct Answer
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    Explanation:
    The group can be formed in the following ways
     
    (i) 1 woman + 3 men
     
    (ii) 2 women + 2 men
     
    (iii) 3 women + 1 man
     
    (iv) 4 women + 0 man
     Required number of ways
     
    6C1 × 8C3 + 6C2 + 8C2 + 6C3 × 8C3 + 6C4 × 8C0
     
    5 × 56 + 15 × 28 + 20 × 8 + 15
     
    336 + 420 + 160 + 15 = 931
     

    By: Sandeep Dubey
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