A) \[\frac{7!\times 2}{3\times {{5}^{6}}}\]
B) \[\frac{7!}{10\times {{5}^{6}}}\]
C) \[\frac{7!}{{{5}^{6}}}\]
D) \[\frac{7!}{{{5}^{7}}}\]
Correct Answer: A
Solution :
| Given, \[n\,(A)=7,\,n(B)=5\] |
| Total number of function from A to \[B={{5}^{7}}\]Total number of onto function from A to B is |
| \[n(E)=\frac{7!}{3!4!}5!+\frac{7!}{3!2!}\times \frac{1}{2!2!}\times 5!\]\[=\frac{7!\times 20}{6}\] |
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