How many one to one functions are there from a set containing 5 elements to a set containing 7 elements?


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The number of one-one function...

Updated On: 27-06-2022

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Answer : C

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How many one to one functions are there from a set with five elements to sets with 5 elements?

(d) 2520 one-to-one functions.

How many different one to one functions are there from a set with 5 elements to a set with 7 elements?

How many functions are there from a 5-element set to a 7-element? this element, so the total number of possible assignments is 7 · 7 · 7 · 7 · 7=75 . Thus, (c) is the correct answer.

How many one to one functions are there from a set with 5 elements to the set with 4 number of elements?

The objective is to find the number of one-to-one functions is there from a set with 5 elements to set with 4 elements. Here so there are no one-to-one functions from the set with 5 elements to the set with 4 elements. Therefore, there are one-to-one functions from the set with 5 elements to the set with 4 elements.

How many functions can be defined from a set A containing 5 elements?

1 Answer. Image of each element of A can be taken in 3 ways. ∴ Number of functions from A to B = 35 = 243. Number of into functions from A to B = 25 + 25 + 25 – 3 = 93.

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