cmi-entrance 2013 QA5

cmi-entrance · India · ugmath 5 marks Combinations & Selection Selection with Group/Category Constraints
There are 8 boys and 7 girls in a group. For each of the tasks specified below, write an expression for the number of ways of doing it. Do NOT try to simplify your answers. a) Sitting in a row so that all boys sit contiguously and all girls sit contiguously, i.e., no girl sits between any two boys and no boy sits between any two girls
Answer: b) Sitting in a row so that between any two boys there is a girl and between any two girls there is a boy
Answer: c) Choosing a team of six people from the group
Answer: d) Choosing a team of six people consisting of unequal number of boys and girls
Answer:
There are 8 boys and 7 girls in a group. For each of the tasks specified below, write an expression for the number of ways of doing it. Do NOT try to simplify your answers.\\
a) Sitting in a row so that all boys sit contiguously and all girls sit contiguously, i.e., no girl sits between any two boys and no boy sits between any two girls

Answer:\\
b) Sitting in a row so that between any two boys there is a girl and between any two girls there is a boy

Answer:\\
c) Choosing a team of six people from the group

Answer:\\
d) Choosing a team of six people consisting of unequal number of boys and girls

Answer: