Here's the question bank on all the mathematics topics.
A group of 139 excursionists speaks English or Spanish or Chinese. Out of these, 64 are English speaking, 62 are Spanish speaking, & 57 Chinese speakings. 15 speak English & Spanish, 16 speak English & Chinese, 18 speak Spanish & Chinese. The number of excursionists speaking all three languages will be
Calculation:For better understanding we draw the venn diagram according to the given information.Apply the formula? n(E ? S ? C) = n(E) + n(S) + n(C) - n(E ? S) - n(S ? C) - n(C ? E) + n(E ? S ? C) ? 139 = 64 + 62 + 57 - 15 - 16 - 18 + n(E ? S ? C) ? n(E ? S ? C) = 139 - 134 = 5? Hence number of excursionists speaking all the three languages are 5Additional Information? For two sets A and B,? n(A U B) is the number of elements present in either of the sets A or B.? n(A ? B) is the number of elements present in both the sets A and B.? n(A?B) = n(A) + (n(B) “ n(A?B)? For three sets A, B and C,? n(A?B?C) = n(A) + n(B) + n(C) “ n(A?B) “ n(B?C) “ n(C?A) + n(A?B?C)
Scan QR code to download our App for
more exam-oriented questions
.png)
OR
To get link to download app