An examination paper contains 8 questions of which 4 have 3 possible answers each 3 have 2 pos...........

Quantitative Aptitude ( CCS) Permutation & Combination

An examination paper contains 8 questions, of which 4 have 3 possible answers each, 3 have 2 possible answers each and the remaining one question has 5 possible answers. The total number of possible answers to all the questions is:

2880

3240

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Explanation:

Total Number of questions = 8.
4 questions has 3 options, so
Each one of 4 questions can be done in 3 ways,
So, required number of ways = 3*3*3*3 = 81 ways.
Next 3 questions has 2 options each.
They can be done in 2*2*2 = 8 ways.
And the last 1 question has 5 options and that can be done in 5 ways.
Thus total number of ways = 81 *5 * 8 = 3240.