2.5 Out Of 13 Students Will Ride In A Car Instead Of A Van. Solution:​

2.5 out of 13 students will ride in a car instead of a van. Solution:​

Answer:

The number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

The way of selecting 5 out of the 13 students will ride in a car instead of a van is evaluated by the combinations.

We consider the group of 5 students can be selected to ride in a car instead of a van.

Thus, for selecting a random group of the data from the universal data, we have to apply combinations to evaluate it.

Therefore, the ways can be formulated as:

\begin{gathered}^{13}C_5=\dfrac{13!}{5! \times 6!}\\=1287\;\rm{ways}\end{gathered}

13

C

5

=

5!×6!

13!

=1287ways

Thus, the number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

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