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Relations and Functions (Class 12) · Question 6

JEE Advanced 2024 Paper 2NumericalMedium📈 Topic in 50% papers+4
1

If n(X)=mC6, then the value of m is .

Answer

20

Solution

S S has 36 ordered pairs; pairs with |a-b| 1: 6 (with a=b) + 10 (with |a-b|=1) = 16.

So 20 pairs satisfy |a-b| 2; X = all 6-element subsets of these 20 pairs.

n(X)=20C6 m=20.

Answer: 20

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2

If the value of n(Y)+n(Z) is k2, then |k| is .

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