Home Maths Permutations & Combination MHT - CET Previous Year Question A linguistic club consists of 6 girls and 4 …
Maths Permutations & Combination MHT - CET Previous Year Question Single Correct MCQ
Published on: August 14, 2026

A linguistic club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this group including the selection of a leader (from among these 4 members) for the team. If the team has to include at most one boy, the number of ways of selecting the team is

A
140
B
320
C
76
D
380

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Text Solution

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The correct answer is:
D

: Since at most 1 boy can be selected, so team can be selected in two ways like as follows :

1: 3 girls and 1 boy are selected

2: 4 girls are selected

Number of ways of selecting 3 girls and 1 boy

Now, number of ways of selecting 4 girls

Total number of ways of selecting 4 members

Now, out of 4 member, number of ways of selecting a leader ways

Total number of ways of selecting a team

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