Q.

Statement – 1: If ƒ:{1,2,3,4,5}{1,2,3,4,5} then the number of onto functions such that ƒ(i)i and ƒ(1)=2 is 11
Statement – 2 : If n(n >1) things are arranged in row, the number of ways in which they can be de- arranged so that no one of them occupies its original place is n!(111!+12!......(1)n1n!)
 
Statement – 3 : Number of ways of distribution of 12 identical balls into 3 identical boxes is 19
Statement – 4 : Number of ways of distribution of n identical objects among r persons, each one of whom can receive any number of objects is  Cr1   n+r1 
Which of the following must be truth value of above statements in that order.

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a

TTTT

b

FTFT

c

TFTF

d

FFTF

answer is C.

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