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JEE Mains · Maths · STD 12 - 1. relation and function
Let \(x\) denote the total number of one-one functions from a set \(A\) with \(3\) elements to a set \(B\) with \(5\) elements and \(y\) denote the total number of one-one functions from the set \(A\) to the set \(A \times B\). Then ...... .
- A \(y=273 x\)
- B \(2 y=91 x\)
- C \(y=91 x\)
- D \(2 y=273 x\)
Answer & Solution
Correct Answer
(B) \(2 y=91 x\)
Step-by-step Solution
Detailed explanation
\(x={ }^{5} C_{3} \times 3 !=60\) \(y={ }^{15} C_{3} \times 3 !=15 \times 14 \times 13=30 \times 91\) \(\therefore 2 y=91 x\)
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