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Number of binary operations on the set {...

Number of binary operations on the set {a, b} are (A) 10 (B) 16 (C) 20 (D) 8

A

10

B

16

C

20

D

8

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Number of binary operations in the set {a,b}
`=2^4 =16`
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NAGEEN PRAKASHAN-RELATIONS AND FUNCTIONS -Miscellaneous Exercise
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  2. Let f: W ->Wbe defined as f(n) = n - 1, if is odd and f(n) = n + 1, i...

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  3. If f: R ->Ris defined by f(x) = x^2- 3x + 2, find f(f(x)).

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  5. Show that the function f: R->Rgiven by f(x)=x^3is injective.

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  6. Give examples of two functions f:" "N->Z" "a n dg:" "Z->Z such that o...

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  7. Given examples of two functions f:" "N ->N" "a n d""""""g:" "N->N such...

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  8. Given a non-empty set X, consider P(X) which is the set of all subs...

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  9. Given a non-empty set X, consider the binary operation *: P(X)xx P(X)...

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  10. Find the number of all onto functions from the set {1, 2, 3, , n)to ...

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  11. Let S = {a , b , c} a n d T = {1, 2, 3}. Find F^(-1)of the following ...

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  12. Consider the binary operations*: RxxR->R and o: RxxR->R defined as ...

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  13. Given a non -empty set X, let *:" "P(X)" "xx" "P(X) ->P(X) be defined ...

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  14. Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod...

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  15. Let A" "=" "{-1," "0," "1," "2} , B" "=" "{-4," "-2," "0," "2} and f,g...

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  16. LetA = {1, 2, 3}Then number of relations containing (1, 2) a n d (1, 3...

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  17. Let A = {1, 2, 3}. Then number of equivalence relations containing (1...

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  18. Let f: R->Rbe the Signum Function defined as f(x)={1,x >0 0,x=0-1,x<1 ...

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  19. Number of binary operations on the set {a, b} are (A) 10 (B) 16 (C)...

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