Permutations Practice Test 1

Question : 6 of 40

Marks: +1, -0

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

Validate

Solution:

We present the solution in the following tabular form:

Possibilities of Question Choosing from		Number of Waysof Selections
Group I	Group II
5	2	$^6C_5×^6C_2=90$
4	3	$^6C_4×^6C_3=300$
3	4	$^6C_3×^6C_4=300$
2	5	$^6C_2×^6C_5=90$

∴ Total number of ways = 90 + 300 + 300 + 90 = 780

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