Question 1

Let $$A = \{1, 2, 3, \ldots, 2008\}$$, $$B = \{1, 2, 3, \ldots, 1004\}$$.

Solution

Both sets are finite, so there are exactly $$1004^{2008}$$ functions from A to B, a finite number; this rules out a and d. Since A has more elements than B, onto functions exist (so b is false) but no function can be one-one (so c is false). Hence the answer is "None of these".

Was this solution helpful?

Get AI Help

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Ask AI