class 11

Math

Algebra

Sets

If A, B and C are three sets such that $A∩B=A∩C$and $A∪B=A∪C$, then

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If S and T are two sets such that S has 21 elements, T has 32 elements, and $S∩T$has 11 elements, how many elements does $S∪T$have?

Draw appropriate Venn diagram for each of the following:(i) $(A∪B)_{′}$, (ii) $A_{′}∩B_{′}$, (iii) $(A∩B)_{′}$, (iv) $A_{′}∪B_{′}$

Let $A={2,4,6,8}$and $B={6,8,10,12}˙$Find $A∪B˙$

The collection of all States in the Indian Union is a set.

In a survey of $600$ students in a school, $150$ students were found to be taking tea and $225$ taking coffee, $100$ were taking both tea and coffee. Find how many students were taking neither tea nor coffee?

If $S$ and $T$ are two sets such that $S$ has $21$ elements, $T$ has $32$ elements, and $S∩T$ has $11$ elements, how many elements does $S∪T$ have?

In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?

Decide, among the following sets, which sets are subsets of one and another: