Find the product 284 times 36
2 answers:
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Answer:
Step-by-step explanation:
we are two conditions
- committees can be formed from 12 teachers and 43 students
- the committee consists of 3 teachers and 4 students
In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12
remember that,
with the condition we obtain that,
therefore substitute:
simplify Parentheses:
rewrite:
reduce fraction:
rewrite 12 and 10:
reduce fraction:
simplify multiplication:
In case of students we need the number of combinations of 4 students choosen from 43 therefore,
simplify which yields:
hence,
The committee of 7 members can be selected in BLANK different ways is
and we're done!
M is mid point of CP. M will divide the BPC in two equal parts
BMC and
BMP.
Area of BMP is equal to 21m^2
Since, BMC =
BMP
Area of BPC = Area of
BMC +Area of
BMP = 21 + 21 = 42m^2
and since ratio of AP:BP =1:3 so the area of BMP will be 1/3 of Area of
ABC
hence, Area of ABC = 63m^2
Answer:
a) 10
b) 15
c) 190
d)
Step-by-step explanation:
Lets start with the generic item (d). In order to draw a chord we need to pick two endpoints from the total of n points of the circle and draw the line between them. The total amount of lines we can draw is equivalent to the total pair of points we can pick to draw them.
In other words, we can draw as many chords as the amount of subsets of 2 elements we can pick from a set of n. That number is the combinatorial number of n with 2 given by
a) If n = 5, the answer is
there are 10 possibilities
b) for n = 6
15 possibilities
c) for n = 20, we have
possibilities.
I hope that works for you!