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At the birthday party of Sherry, a baby boy, 40 persons chose to kiss him and 25 chose to shake hands with him. 10 persons chose to both kiss him and shake hands with him. How many persons turned out at the party?
- a)35
- b)75
- c)55
- d)25
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
At the birthday party of Sherry, a baby boy, 40 persons chose to kiss ...
Explanation:
From the figure, it is clear that the number of people at the party were,
30 + 10 + 15 = 55.
We can of course solve this mathematically as below:
Let n(A) = No. of persons who kissed Sherry = 40
n(B) = No. of persons who shake hands with Sherry = 25
30 + 10 + 15 = 55.
We can of course solve this mathematically as below:
Let n(A) = No. of persons who kissed Sherry = 40
n(B) = No. of persons who shake hands with Sherry = 25
and n(A > B) = No. of persons who shook hands with Sherry and kissed him both =10
Then using the formula, n(A > B) = n(A) + n(B) -n(A > B)
n(A > B) = 40 + 25 - 10 = 55
Hence, correct answer is 55.
n(A > B) = 40 + 25 - 10 = 55
Hence, correct answer is 55.
You can know about Important Formulas related to Set Theory through the document:
Most Upvoted Answer
At the birthday party of Sherry, a baby boy, 40 persons chose to kiss ...
Given:
Number of persons who chose to kiss Sherry = 40
Number of persons who chose to shake hands with Sherry = 25
Number of persons who chose to both kiss and shake hands with Sherry = 10
To find: Total number of persons who turned out at the party
Solution:
Let us first calculate the number of persons who either kissed or shook hands with Sherry:
Number of persons who either kissed or shook hands with Sherry = Number of persons who chose to kiss Sherry + Number of persons who chose to shake hands with Sherry - Number of persons who chose to both kiss and shake hands with Sherry
= 40 + 25 - 10
= 55
Now, let us add the number of persons who chose to both kiss and shake hands with Sherry to this result to get the total number of persons who turned out at the party:
Total number of persons who turned out at the party = Number of persons who either kissed or shook hands with Sherry + Number of persons who chose to both kiss and shake hands with Sherry
= 55 + 10
= 65
Therefore, the correct answer is option C, 55.
Number of persons who chose to kiss Sherry = 40
Number of persons who chose to shake hands with Sherry = 25
Number of persons who chose to both kiss and shake hands with Sherry = 10
To find: Total number of persons who turned out at the party
Solution:
Let us first calculate the number of persons who either kissed or shook hands with Sherry:
Number of persons who either kissed or shook hands with Sherry = Number of persons who chose to kiss Sherry + Number of persons who chose to shake hands with Sherry - Number of persons who chose to both kiss and shake hands with Sherry
= 40 + 25 - 10
= 55
Now, let us add the number of persons who chose to both kiss and shake hands with Sherry to this result to get the total number of persons who turned out at the party:
Total number of persons who turned out at the party = Number of persons who either kissed or shook hands with Sherry + Number of persons who chose to both kiss and shake hands with Sherry
= 55 + 10
= 65
Therefore, the correct answer is option C, 55.
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