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A man has 7 relatives, 4 of them are ladies and 3 gentlemen. His wife has 7 relatives, 3 of them are ladies and 4 gentleman. Then the number of ways the couple can invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of the man’s relative and 3 of the wife's relatives is equal to:
- a)485
- b)375
- c)265
- d)none
Correct answer is option 'A'. Can you explain this answer?
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A man has 7 relatives, 4 of them are ladies and 3 gentlemen. His wife ...
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A man has 7 relatives, 4 of them are ladies and 3 gentlemen. His wife ...
To find the number of ways the couple can invite a dinner party of 3 ladies and 3 gentlemen, we need to consider the number of ways to select the guests from each side.
For the man's side, we need to select 3 gentlemen from the 3 available. Since there are no ladies on the man's side, we don't need to consider selecting any ladies. Therefore, the number of ways to select the gentlemen from the man's side is 1 (since there is only 1 possible combination).
For the wife's side, we need to select 3 ladies from the 3 available. Since there are no gentlemen on the wife's side, we don't need to consider selecting any gentlemen. Therefore, the number of ways to select the ladies from the wife's side is 1 (since there is only 1 possible combination).
To find the total number of ways to invite the dinner party, we multiply the number of ways to select guests from each side: 1 * 1 = 1.
Therefore, there is only 1 way for the couple to invite a dinner party with 3 gentlemen from the man's side and 3 ladies from the wife's side.
For the man's side, we need to select 3 gentlemen from the 3 available. Since there are no ladies on the man's side, we don't need to consider selecting any ladies. Therefore, the number of ways to select the gentlemen from the man's side is 1 (since there is only 1 possible combination).
For the wife's side, we need to select 3 ladies from the 3 available. Since there are no gentlemen on the wife's side, we don't need to consider selecting any gentlemen. Therefore, the number of ways to select the ladies from the wife's side is 1 (since there is only 1 possible combination).
To find the total number of ways to invite the dinner party, we multiply the number of ways to select guests from each side: 1 * 1 = 1.
Therefore, there is only 1 way for the couple to invite a dinner party with 3 gentlemen from the man's side and 3 ladies from the wife's side.
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A man has 7 relatives, 4 of them are ladies and 3 gentlemen. His wife has 7 relatives, 3 of them are ladies and 4 gentleman. Then the number of ways the couple can invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of the man’s relative and 3 of the wifes relatives is equal to:a)485b)375c)265d)noneCorrect answer is option 'A'. Can you explain this answer?
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