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The number of ways in which 6 men can be arranged in a row so that the particular 3 men sit together, is
- a)4P4
- b)4P4 × 3P3
- c)
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The number of ways in which 6 men can be arranged in a row so that the...
3 men sit together in one row and 3 men sit together in another row.
3+3=6
Most Upvoted Answer
The number of ways in which 6 men can be arranged in a row so that the...
GIven,
6 men and 3 particular men are consecutive
let those 3 particular men be considered together as a single item
∴ Now 4 items in total can be arranged in 4! ways and those 3 men which are considered as a single item can be arranged in 3! ways among themselves.
i.e.,
4p4 × 3p3
ways
Hence option B is correct
6 men and 3 particular men are consecutive
let those 3 particular men be considered together as a single item
∴ Now 4 items in total can be arranged in 4! ways and those 3 men which are considered as a single item can be arranged in 3! ways among themselves.
i.e.,
4p4 × 3p3
ways
Hence option B is correct
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Community Answer
The number of ways in which 6 men can be arranged in a row so that the...
- Treat the 3 Specific Men as a Single Unit:
- By grouping the 3 particular men together, we effectively reduce the problem to arranging 4 units:
- The grouped unit of 3 men.
- The remaining 3 individual men.
- By grouping the 3 particular men together, we effectively reduce the problem to arranging 4 units:
- Arranging the 4 Units:
- The 4 units can be arranged in a row in 4 factorial ways.
- 4 factorial is written as 4!, which equals 24.
- Arranging the 3 Men Within Their Group:
- The 3 specific men within their grouped unit can be arranged among themselves in 3 factorial ways.
- 3 factorial is written as 3!, which equals 6.
- Combining Both Arrangements:
- To find the total number of arrangements, multiply the number of ways to arrange the 4 units by the number of ways to arrange the 3 men within their group.
- Total Ways = 4! × 3!
which is 4P4 x 3P3
-
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The number of ways in which 6 men can be arranged in a row so that the particular 3 men sit together, isa)4P4b)4P4 × 3P3c)d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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