Using the Formula for the Multinomial Distribution, the Probability Of X

Multiple Choice

Using the formula for the multinomial distribution, the probability of $X _ { 1 } = 2 , X _ { 2 } = 1 , X _ { 3 } = 2$ when $\mathrm { n } = 5$ , $\mathrm { p } _ { 1 } = 0.4 , \mathrm { p } _ { 2 } = 0.5 , \mathrm { p } _ { 3 } = 0.1$ is

A) $\{ 5 ! / ( 2 ! \times 1 ! \times 2 ! ) \} _ { 2 } \times 0.4 ^ { 2 } \times 0.5 ^ { 1 } \times 0.1 ^ { 2 }$
B) $2 ! \times 1 ! \times 2 ! \times 0.4 ^ { 2 } \times 0.5 ^ { 1 } \times 0.1 ^ { 2 }$
C) $5 ! \times 0.4 ^ { 2 } \times 0.5 ^ { 1 } \times 0.1 ^ { 2 }$
D) $\{ 5 ! / ( 0.4 ! \times 0.5 ! \times 0.1 ! ) \} \times 2 ^ { 0.4 } \times 1 ^ { 0.5 } \times 2 ^ { 0.1 }$