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:
5×14×14×4=3,920 cm
Step-by-step explanation:
Multiply all numbers to find the area.
Answer:
72 jelly beans
Step-by-step explanation:
138*0.52=71.76
round up
72
25% of $270 is $67.50
10% of $270 is $27.0
27.0
+67.50
is $94.50
$270 - $94.50 is
$175.50 (Final Answer.) [I hope this helped you!]