Answer:
400 students voted in the election
Step-by-step explanation:
Given:
Total number of votes received by Priscilla = 240
This was 60% of the students who voted in the election.
To find: Total number of students who voted in the election
Solution:
Total number of votes received by Priscilla = 60% of Total number of students who voted in the election
240 = 60% of Total number of students who voted in the election
240 = 
× Total number of students who voted in the election
So,
Total number of students who voted in the election 
Answer:
24
Step-by-step explanation:
The question is saying, how many three digit numbers can be made from the digits 3, 4, 6, and 7 but there can't be two of the same digit in them. For example 346 fits the requirements, but 776 doesn't, because it has two 7s.
Okay, on to the problem:
We can do one digit at a time.
First digit:
There are 4 digits that we can choose from. (3, 4, 6, and 7)
Second digit:
No matter which digit we chose for the first digit, there is only going to be 3 of them left, because we already chose one, and you can't repeat that same digit. So there are 3 options.
Third digit:
Using the same logic, there are only 2 options left.
We have 4 choices for the first digit, 3 choices for the second, and 2 for the third.
Hence, this is 4 * 3 * 2 = 24 three-digit numbers that can be made.
Answer:
Options (1) and (5)
Step-by-step explanation:
Expression that defines the function is,
Option 1
So, 
is false.
Option 2
f(0) = 
= 
True.
Option 3
f(1) = 
= 
= 2
Therefore, f(1) = -1 is false.
Option 4
Therefore, f(2) = 1 is false.
Option 5
f(4) 
True.
Options (1) and (5) are the correct options.
Answer:
1. 5040
2. 20
Step-by-step explanation:
1. using the formula for permutation
nPr=n!/(n-r)!
10P4 = 10!/(10-4)!
=10*9*8*7*6!/6!
then we are left with
=10*9*8*7
=5040
2.using the formula for combination
nCr=n!/(n-r)!r!
6C3=6!/(6-3)!3!
=6*5*4*3!/3!3!
=6*5*4/3*2*1
=20
Answer:
-2;12
Step-by-step explanation:
it's too easy!
