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Class 11 · Mathematics

In a set of (10) elements, (a) and (b) are special. How many subsets contain (a) but do not contain (b)?

Class 11 · Mathematics

A set of (9) elements has (3) special elements. How many (5)-element subsets contain exactly (2) special elements?

Class 11 · Mathematics

A set of (9) elements has (3) special elements. How many (5)-element subsets do not contain all three special elements together?

Class 11 · Mathematics

From digits (1) to (9), (3) distinct digits are chosen only as a digit-set. How many sets are possible?

Class 11 · Mathematics

How many subsets of odd cardinality does a set with (9) elements have?

Class 11 · Mathematics

How many ways are there to choose at least one book from (6) distinct books?

Class 11 · Mathematics

In how many ways can an even number of coins be selected from (16) different coins?

Class 11 · Mathematics

How many (6)-element subsets of (A={1,2,3,4,5,6,7,8,9,10,11,12,13}) contain (1) but do not contain both (5) and (6) together?

Class 11 · Mathematics

How many (7)-element subsets can be formed from (A={1,2,3,4,5,6,7,8,9,10,11,12,13,14}) that contain (1) and (2) but not (3) and (4)?

Class 11 · Mathematics

In how many ways can an odd number of toys be selected from 13 different toys?

Class 11 · Mathematics

In how many ways can an even number of coins be selected from (14) different coins?

Class 11 · Mathematics

How many (6)-element subsets of (A={1,2,3,4,5,6,7,8,9,10,11,12}) contain (1) but do not contain both (5) and (6) together?

Class 11 · Mathematics

How many (6)-element subsets can be formed from (A={1,2,3,4,5,6,7,8,9,10,11,12,13}) that contain (1) and (2) but not (3) and (4)?

Class 11 · Mathematics

In how many ways can an even number of coins be selected from (12) different coins?

Class 11 · Mathematics

How many (6)-element subsets of (A={1,2,3,4,5,6,7,8,9,10,11}) do not contain both (4) and (5) together?

Class 11 · Mathematics

How many (5)-element subsets can be formed from (A={1,2,3,4,5,6,7,8,9,10,11,12}) that contain (1) and (2) but not (3)?

Class 11 · Mathematics

In how many ways can an odd number of toys be selected from (9) different toys?

Class 11 · Mathematics

How many (5)-element subsets of (A={1,2,3,4,5,6,7,8,9,10}) do not contain both (2) and (3) together?

Class 11 · Mathematics

How many (5)-element subsets can be formed from (A={1,2,3,4,5,6,7,8,9,10}) that contain (1)?

Class 11 · Mathematics

If a set has \(n\) elements, which expression gives the number of its subsets containing at least one element?