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A selection committee is to be chosen consisting of 5 ex-technicians...

This question belongs to Arithmetic Ability Permutation And Combination
Permutation and Combination
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A selection committee is to be chosen consisting of 5 ex-technicians. Now there are 12 representatives from four zones. It has further been decided that if Mr. X is selected, Y and Z will not be selected and vice-versa. In how many ways it can be done?

Answer & Solution
Correct Answer: Option B
10C5 : when both are not included.
10C4 : when one of them is included.

Number of ways
= 10C5 + 10C4 + 10C4
= 672
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2 Comments
Asad Rana
Asad Rana 4 years ago
Wrong ans. The ans should be
9C5 + ( 9C4 × 3) = 504.
Or, cut the (and Z) portion to meet the given answer.
Vabani Pepin
Vabani Pepin 6 years ago
I didn't understand the solution. Can anyone briefly solve the problem.
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