Question

How many project teams composed of five students can be created out of a class of 10 students, if each of the five students is assigned a specific position in each group such as president, vice president, secretary, treasurer and social coordinator

Answer 1

Answer:

30,240 ways

Step-by-step explanation:

If the order in which students are selected matters, than the number of possible groups that can be formed is given by the permutation of picking five out of 10 students:

$n=\frac{10!}{(10-5)!}\\n=10*9*8*7*6\\n=30,240\ ways$

There are 30,240 possible groups that may be formed.

Answer 2

Answer:

30,240ways

Step-by-step explanation:

This is a permutation problem, we need to create five teams out of ten classes of students.

The formula for permutation is given below as;

P(n,r) = n!÷(n-r)!

Our n in this case is given as n=10

While our r is this question is given as r = 5

Now , substituting the value of n and r in to the formula, we have

P(10,5) = 10!÷(10-5)!

=10!÷5!

= (10×9×8×7×6×5×4×3×2×1)÷5×4×3×2×1

=10×9×8×7×6

=30,240ways

Therefore, the correct answer is 30,240ways