Consider the following statements: i) Number of one-one functions from set A to set B. where O(A) = m and O(B) = n (m ≤ n) is given by \,^{n}P_m ii) Number of ways in which 'n’ people can be arranged at a circular table is {(n-1)!}/2 iii) Number of ways of selecting atleast one thing out of the given distinct things is 2^n-1 iv) Number of ways in which n distinguishable objects can be distributed into distinguishable bins is \,^{n}C_{k-1} Then which one of the following is true?

Correct Answer is : Only (i) and (iii) are true

TS EAMCET 04 May 2019 Shift 2 Solved Paper

Section: Mathematics

Question : 15 of 160

Marks: +1, -0

Consider the following statements:
i) Number of one-one functions from set A to set B. where O(A) = m and O(B) = n (m ≤ n) is given by

‌

Pm
ii) Number of ways in which 'n’ people can be arranged at a circular table is

(n−1)!

iii) Number of ways of selecting atleast one thing out of the given distinct things is 2n−1
iv) Number of ways in which n distinguishable objects can be distributed into distinguishable bins is

‌

Ck−1
Then which one of the following is true?

All the statements are true
All except (iii) are true
Only (i) and (iii) are true
Only (ii) is false

Validate

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