At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the firs
1 answer:
Answer:
4032 different tickets are possible.
Step-by-step explanation:
Given : At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 9 horses and the second runs 8.
To find : How many different tickets are possible ?
Solution :
In the first race there are 9 ways to pick the winner for first and second place.
Number of ways for first place -
Number of ways for second place -
In the second race there are 8 ways to pick the winner for first and second place.
Number of ways for first place -
Number of ways for second place -
Total number of different tickets are possible is
Therefore, 4032 different tickets are possible.
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Answer:
492
Step-by-step explanation:
As per the given data of the question:
Total number of students = 2504
Number of students in Java (J) = 1876
Number of students in Linux (L) = 999
Number of students in C = 345
J∩L = 876
L∩C = 231
C∩J = 290
L∩J∩C = 189
Now according to Venn-diagram as drawn below:
Number of students haven taken courses in Java and Linux both only
= J∩L - L∩J∩C
= 876 - 189
= 687
Number of students haven taken courses in Java and C both only
= C∩J - L∩J∩C
= 290 - 189
= 101
Number of students haven taken courses in C and Linux both only
= L∩C - L∩J∩C
= 231 - 189
= 42
Therefore,
Number of students only in Java = 1876 - 687 - 189 - 101 = 899
Number of students only in Linux = 999 - 687 - 189 - 42 = 81
Number of students only in C = 345 - 42 - 189 - 101 = 13
So,
Number of students who have not taken a course in any of these three subjects
= 2504 - 899 - 81 - 13 - 687 - 189 -101 - 42
= 492
Hence, the students who have not taken a course in any of these three subjects = 492.
Answer:
Initial number of trees were 204.
Step-by-step explanation:
555 must be a typo error. The question will not produce correct answer. I worked out with 55 but the answer is wrong. So, the number is 5.
Lets say MacDonald removed 5 orange trees from his farm.
Let t be the initial number of trees
After removing 5 trees, the remaining left are t-5 trees
As given - Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges. This means
Solving for t:
t = 204
So, initial number of trees were 204.
We can check this :
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Working with 55 we get the wrong answer:
t = 144
We can check this :
(wrong)