Answer:
Total number of ways will be 209
Step-by-step explanation:
There are 6 boys and 4 girls in a group and 4 children are to be selected.
We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.
So the groups can be arranged as
(1 Boy + 3 girls), (2 Boy + 2 girls), (3 Boys + 1 girl), (4 boys)
Now we will find the combinations in which these arrangements can be done.
1 Boy and 3 girls = 
=24
2 Boy and 2 girls=
3 Boys and 1 girl = 
4 Boys = 
Now total number of ways = 24 + 90 + 80 + 15 = 209
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
7. x = 5
8. x = 2, y = 6
9. x = 21, y = 39
Step-by-step explanation:
For a parallelogram, the lengths across intersection are equal.
7. For a parallelogram, the lengths across intersection are equal.
So that,
3x = 4x - 5
4x - 3x = 5
x = 5
8. For a parallelogram, the lengths across intersection are equal.
So that,
2x = 4
x = 
x = 2
and
y - 1 = 2y -7
7 - 1 = 2y - y
y = 6
x = 2, y = 6
9. For a parallelogram, opposite angles have equal value.
Thus,
3x = (4x - 21)
3x = 4x - 21
x = 21
and
3y = (y + 78)
3y = y + 78
3y - y = 78
2y = 78
y = 
= 39
y = 39
x = 21, y = 39
