Home
Class 12
MATHS
If a set A has 12 elements, find the num...

If a set A has 12 elements, find the number of subsets of A having (i) 4 elements (ii) Atleast 3 elements (iii) Atmost 3 elements.

Text Solution

Verified by Experts

The correct Answer is:
4 element `=""^(12)C_(4)=495`
`=4096-(1+12+66)=4096-79=4017`
`=1+12+66+220`
`=299`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TAXTUAL EXERCISES|73 Videos

  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SHORT ANSWER QUESTIONS|6 Videos

  • PARTIAL FRACTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 7|32 Videos

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos

Similar Questions

Explore conceptually related problems

If a set A has 12 elements, find the number of subsets of A having 4 elements

If a set A has 12 elements, find the number of subsets of A having Atmost 3 elements

If a set A has 12 elements, find the number of subsets of A having Atleast 3 elements

If a set A has 12 elements. Find the number of subsets of A having atmost 3 elements

IF a set A has 12 elements , then the number of subsets of A having atleast 3 elements is

A set A has 10 elements. Find the number of subsets of A with atmost 4 elements.

If a set A has 8 elements, find the number of subsets of A containing at least 6 elements.

If a set A has n elements then number of relations defined on A is

If a set A has 6 elements find the number of elements in the power set of A.