ISI B.Math Entrance (5)

Probability Level 3

Find the number of one-to-one functions from a set with 3 elements to a set with 6 elements.

20 720 216 120

Md Zuhair by Md Zuhair , 20, India

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1 solution

Jaya Krishna
May 21, 2017

The 1st element can be mapped to any of the 6 elements, the 2nd to any of the other 5 and and the remaining to any of the other 4 element. So the number of 1 to one function is 6 × 5 × × 4 = 120 6 \times 5 \times \times 4 = \boxed{ 120 }

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