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  • 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 <img alt="\times" src="https://entrancecorner.

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 :
Option: 1 y = 273x
Option: 2 2y = 91x
Option: 3 y = 91x
Option: 4 2y = 273x

Answers (1)

best_answer

x = number of one one function from A → B

^5C_3\times3!=60

Number of the element in A × B is 3 × 5 = 15

y = number of one one function from A → A × B

^{15} \mathrm{C}_{3} \times 3 !=15 \times 14 \times 13=30 \times 91

Therefore, 2y = 91x

Posted by

himanshu.meshram

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