Question

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

Answer #1

thank you.

Sixteen boys and nine girls go on a camping trip. In how many
ways can a group of sic be selected to gather firewood, giveen the
following conditions?
a. The group consist of two girls and four boys.
b. The group contains at least two girls.
c. The group contains at least one girl and one boys.

There are 9 children - 6 girls and 3 boys - a kindergarten
classroom having 3 rows of chairs, 3 chairs in each row. (a) How
many ways can the children be seated in the chairs? (b) How many
ways can the children be seated with all the boys seated together
in a row?

4. Your science group has 9 boys and 12 girls in it. You want
them to work on a project together. (9 points)
a. How many
different groups of 3 can you create?
b. How many
different groups of 6 can you create if you want 3 boys and 3 girls
in the group?
c. What is the
probability that a four person social committee will consists of
all girls?

Ten high school students, 6 girls and 4 boys, have applied for 5
available scholarships. In how many ways can these scholarships be
awarded among the applicants if a) No preference is given to any
one student? b) One particular student must be awarded an
assistantship? c) The group of applicants includes 6 girls and 4
boys and it is stipulated that a majority of girls must be awarded
scholarships? d) At least 2 boys are awarded?e) At most 2...

Consider a class with 8 boys and 6 girls.
a) In how many ways can a committee of nine consisting of 4 boys
and 5 girls be chosen?
b) How many of the possible ways a committee of 7 can be chosen
at random from the class consists at least 3 girls?

"In a family of 6 children, what is the probability of 4 boys
and two girls? "

Ten high school students, 6 girls and 4 boys, have applied for 5
available scholarships. In how many ways can these scholarships be
awarded among the applicants if
d) At least 2 boys are awarded? e) At most 2 boys are awarded?
f) What is the probability that majority of girls are awarded
scholarships? d) What is the probability that at least 2 boys are
awarded scholarships? e) What is the probability that at most 2
boys are awarded scholarships?

In a class, there are 10 boys and 8 girls.
(a) In how many ways can the teacher arrange 6 boys and 4 girls
in a row if the girls must stand in the middle of the row?
(b) In how many ways can the teacher arrange 6 boys and 4 girls
in a row if no girls stand next to another girl?

A kindergarden class consists of 14 boys and 11 girls. If the
teacher selects children
a) What is the probability that the first selected child will be
a girl if the teacher uses random sampling?
b) If the teacher selects a random sample of n=3 children, and
the first two children are boys and leave the classroom as soon as
selected, what is the probability that the third child selected
will be a girl?
c) In the same situation, what...

How many 6-member committees can be
formed from 8 girls and 9 boys if the following are true?
a)There must be exactly 3 girls
b)There are no conditions
c)There must be at least 4 boys.

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