8 Simplify the expression: 41 +91 + 61 = 1
2 answers:
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Answer: The required constant of proportionality is 10.
Step-by-step explanation: Given that y is directly proportional to x, and y = 150 when x = 15.
We are to find the constant of proportionality.
According to the given information, we can write
When y = 150 and x = 15, we get from the above equation that
Thus, the required constant of proportionality is 10.
Selecting r objects out of n objects, can be done in C(n, r) many ways.
For example selecting groups of 4 people out of 10 people can be done in
C(10, 4) many ways.
C(n, r) is calculated as follows:
,
where n! is 1*2*3*...*(n-1)*n
3 men out of 11 men, and 2 women out of 6 women are to be selected.
This can be done in C(11, 3) and C(6,2) ways respectively.
Since any of the selected men group can be combined with any of the selected women group, there are C(11, 3)*C(6,2) many ways of selecting the team of 5.
165*15=2475
Answer: 2475
For example selecting groups of 4 people out of 10 people can be done in
C(10, 4) many ways.
C(n, r) is calculated as follows:
where n! is 1*2*3*...*(n-1)*n
3 men out of 11 men, and 2 women out of 6 women are to be selected.
This can be done in C(11, 3) and C(6,2) ways respectively.
Since any of the selected men group can be combined with any of the selected women group, there are C(11, 3)*C(6,2) many ways of selecting the team of 5.
165*15=2475
Answer: 2475