Management Aptitude Test Feb 2012 Paper

Question : 109 of 200

Marks: +1, -0

A candidate is required to answer 7 questions out of 12 questions which are divided into two groups each containing 6 questions. He is not permitted to attempt more than 5 questions from each group. The number of ways in which he can choose the 7 questions is

Validate

Solution:

(1 ) Required number of ways
=

^6C_2 ^6C _5

^6C_ 3 ^6C _4

^6C_ 4 ^6C _3

^6C_ 5 ^6C _2

= 2 (

^6C_ 2 ^6C _4

^6C_ 3 ^6C _4

)
= 2 (

^6C_ 2 ^6C _1

^6C_ 3 ^6C _2

)
= 2

({6×5}/{2×1}×6+{6×5×4}/{3×2×1}×{6×5}/{2×1})

= 2 ( 90 + 300)
= 2 x 390 = 780

Go to Question:

Prev Question

Next Question