SATHEE: Permutations And Combinations Question 139

Permutations And Combinations Question 139

Question: Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys [MP PET 1994]

Options:

A) 120

B) 90

C) 100

D) 80

Show Answer

Answer:

Correct Answer: C

Solution:

1 girl and 6 boys $ {{=}^{4}}C_1{{\times }^{6}}C_6=4 $ 2 girls and 5 boys $ {{=}^{4}}C_2{{\times }^{6}}C_5=36 $ 3 girls and 4 boys $ {{=}^{4}}C_3{{\times }^{6}}C_4=60 $ Hence total ways $ 60+36+4=100 $ .

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Permutations And Combinations Question 139

Question: Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys [MP PET 1994]

Options:

Answer:

Solution:

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