Miscellaneous Question 47
- A committee of 4 person is to be selected from 5 men and 6 women.
Quantity I : Number of ways the selection can be done to include atleast 1 woman.
Quantity II : Number of ways the selection can be done to include atleast 1 man.
(1) Quantity I $>$ Quantity II
(2) Quantity I $<$ Quantity II
(3) Quantity I $\leq$ Quantity II
(4) Quantity I $\geq$ Quantity II
(5) Quantity I = Quantity II or No relation.
(IBPS Bank PO/MT CWE (Main Exam) 26.11.2017)
Show Answer
Correct Answer: 47. (1)
Solution: 47. I. Required number of ways $=$ (All possible ways of selecting 4 persons out of total 11) -(number of ways of selecting no woman i.e, 4 men out of 5)
$=11 _{\mathrm{C} _{4}}-5 _{\mathrm{C} _{4}}=330-5=325$
II. Required number of ways $=$ (All possible ways of selecting 4 persons out of total 11) - (Number of ways of selecting no man i.e, selecting 4 women out of 6 )
$11_{C_{4}}-6_{C_{4}}=330-15=315$
Clearly, Quantity I $>$ Quantity II.
BETA
