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Q.

Given  f:AB
Question Image
In the List – I there are some conditions and in the List–II there are number of functions satisfying the conditions in the List–I.
Match List – I with List – II and select the correct answer using the code given below the list. 

List–I

List – II

(P)f(1)>f(2)>f(3)>f(4)(1) 10C4.3C1
(Q)f(i)f(j) for ij(where i,jA)(2) 10C4.24
(R)f(1)f(2)f(3)f(4)(3) 10C4
(S)f(1)<f(2)<f(3)>f(4)andf(i)f(j)forij(wherei,jA)(4) 13C4

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a

P2;Q3;R4;S1

b

P3;Q2;R4;S1

c

P3;Q1;R4;S2

answer is B.

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Detailed Solution

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(P)  f(1)>f(2)>f(3)>f(4)
 Then number of functions =   10C4
(Q) f(i)f(j)forij  number of one-one functions  =10C4.4
(R)  f(1)f(2)f(3)f(4), then number of functions is equal to number of non(-)ve integral solution of equation  x1+x2+x3+....uptox10=4
  number of solution  =13C4
(S)     f(1)f(2)f(3)f(4), then number of function  =10C4×3C1

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