Vidyalelo
Aptitude · Q64

Permutation And Combination

Competitive Exams · Aptitude · question 64

Q64

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?

A.
572
B.
672
Answer
C.
472
D.
372

Answer: Option B

Solution

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

Number of ways
= 10C5 + 10C4 + 10C4
= 672