Question
Pashmina has 13 apps on her
phone. Calculate the number
of ways Pashmina can choose
2 of her favorite apps from the
13 on her phone. (1 point)
156
3,113,510,400
8
1
3
78
phone. Calculate the number
of ways Pashmina can choose
2 of her favorite apps from the
13 on her phone. (1 point)
156
3,113,510,400
8
1
3
78
Answers
GPT-4o mini
To find the number of ways Pashmina can choose 2 favorite apps from 13 apps, we can use the combination formula:
\[
C(n, r) = \frac{n!}{r!(n - r)!}
\]
where \( n \) is the total number of items to choose from, and \( r \) is the number of items to choose.
Here, \( n = 13 \) and \( r = 2 \).
Plugging in the values, we get:
\[
C(13, 2) = \frac{13!}{2!(13 - 2)!} = \frac{13!}{2! \cdot 11!}
\]
We can simplify this as follows:
\[
C(13, 2) = \frac{13 \times 12}{2 \times 1} = \frac{156}{2} = 78
\]
Thus, the number of ways Pashmina can choose 2 of her favorite apps from the 13 on her phone is **78**.
\[
C(n, r) = \frac{n!}{r!(n - r)!}
\]
where \( n \) is the total number of items to choose from, and \( r \) is the number of items to choose.
Here, \( n = 13 \) and \( r = 2 \).
Plugging in the values, we get:
\[
C(13, 2) = \frac{13!}{2!(13 - 2)!} = \frac{13!}{2! \cdot 11!}
\]
We can simplify this as follows:
\[
C(13, 2) = \frac{13 \times 12}{2 \times 1} = \frac{156}{2} = 78
\]
Thus, the number of ways Pashmina can choose 2 of her favorite apps from the 13 on her phone is **78**.