Answer: 4 / 11
Step-by-step explanation:
There are 4 vowels in total, 11 cards.
The price of the item is now $180
5.5x+13.5y=40
x+y=5.8
x=5.8-y
5.5(5.8-y)+13.5y=40
31.9-5.5y+13.5y=40
8y=8.1
y=1.0125 or about 1.0 hours
x=4.7875 or about 4.8 hours
Option C
2100 different committees that can be formed from 5 teachers and 10 students
<em><u>Solution:</u></em>
A school committee consists of 2 teachers and 4 students
The number of different committees that can be formed from 5 teachers and 10 students is to be found
This is a combination problem
A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected
<em><u>The formula to calculate combinations is:</u></em>
where n represents the number of items, and r represents the number of items being chosen at a time
Here we have to choose 2 teacher from 5 teacher and 4 student from 10 student
Hence we get,
Number of committees =
To get the factorial of a number n the given formula is used,
Therefore,
Thus 2100 different committees that can be formed from 5 teachers and 10 students