Answer:
(a) 120 choices
(b) 110 choices
Step-by-step explanation:
The number of ways in which we can select k element from a group n elements is given by:
So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:
Then each student have 120 possible choices.
On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:
1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:
2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:
3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:
So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:
50 + 50 + 10 = 110
Answer:
7^2
Step-by-step explanation:
i hope this helps :)
Answer:
180-43
Step-by-step explanation:
43 and x are supplementary which means they both should equal 180
Answer:
Square.
Step-by-step explanation:
given J(-4,2) || K(0,3) || L(1,-1) || M(-3,-2)
given below the visual answer.
OR
you can find the distance of coordinate to coordinate:
Distance of JK
√(-4-0)² + (2-3)²
√17
Distance of KL
√(0-1)²+(3--1)²
√17
Distance of LM
√(1--3)²+(-1--2)²
√17
Distance of MJ
√(-3--4)²+(-2-2)²
√17
All sides are similar of √17 , so its a square.
Answer:
The required expression is .
The value of the expression when y=20 is 2.
Step-by-step explanation:
Consider the provided phase.
3 less than the quotient of a number y and 4
The quotient of a number y and 4 can be written as:
Now 3 less than the quotient of a number y and 4 can be written as:
Hence, the required expression is .
Now evaluate when y=20.
Substitute y=20 in above expression.
Hence, the value of the expression when y=20 is 2.