The missing combinations are H-T-P and C-T-S.
<h3>Further explanation</h3>
The probability of an event is defined as the possibility of an event occurring against sample space.
![\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }](https://tex.z-dn.net/?f=%5Clarge%20%7B%20%5Cboxed%20%7BP%28A%29%20%3D%20%5Cfrac%7B%5Ctext%7BNumber%20of%20Favorable%20Outcomes%20to%20A%7D%7D%7B%5Ctext%20%7BTotal%20Number%20of%20Outcomes%7D%7D%20%7D%20%7D)
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h2>Permutation ( Arrangement )</h2>
Permutation is the number of ways to arrange objects.
![\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }](https://tex.z-dn.net/?f=%5Clarge%20%7B%5Cboxed%20%7B%5EnP_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n%20-%20r%29%21%7D%20%7D%20%7D)
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h2>Combination ( Selection )</h2>
Combination is the number of ways to select objects.
![\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }](https://tex.z-dn.net/?f=%5Clarge%20%7B%5Cboxed%20%7B%5EnC_r%20%3D%20%5Cfrac%7Bn%21%7D%7Br%21%20%28n%20-%20r%29%21%7D%20%7D%20%7D)
<em>Let us tackle the problem!</em>
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
This problem is about Combination.
<em>Peter is selling Hazelnut (H), Chocolate (C), Tiramisu (T), Pistachio (P), and Strawberry (S). Total Combinations will be:</em>
![^5 C_3 = \frac{5!}{( 5 - 3 )! 3!}](https://tex.z-dn.net/?f=%5E5%20C_3%20%3D%20%5Cfrac%7B5%21%7D%7B%28%205%20-%203%20%29%21%203%21%7D)
![^5 C_3 = \frac{5!}{ 2 ! 3 !}](https://tex.z-dn.net/?f=%5E5%20C_3%20%3D%20%5Cfrac%7B5%21%7D%7B%202%20%21%203%20%21%7D)
![^5 C_3 = 5 \times 4 \div 2](https://tex.z-dn.net/?f=%5E5%20C_3%20%3D%205%20%5Ctimes%204%20%5Cdiv%202)
![^5 C_3 = \boxed{10}](https://tex.z-dn.net/?f=%5E5%20C_3%20%3D%20%5Cboxed%7B10%7D)
<em>List of Possible Combinations:</em>
H-C-T
H-C-P
H-C-S
H-T-P
H-T-S
H-P-S
C-T-P
C-T-S
C-P-S
T-P-S
The missing combinations are H-T-P and C-T-S.
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Probability
Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation