Ihave 7 different geography textbooks and 4 different chemistry textbooks. in how many ways can i line the 11 textbooks on a bookshelf if a chemistry textbook must be in the middle and there must be a geography textbook at each end?

120960

Step-by-step explanation:

We get 11 books   7 of geography  and  4  of chemistry

We need to line all of them  with 2 constraints

1.-three of the geography must be: 1 in the middle and in each end, then we already have

C₄,₃   =   4! / ( 4 - 3 ) !     C₄,₃   =  4*3*2*1

C₄,₃   =   24  different ways

Now we have 7 books of chemistry. To place them we get

P₇  = 7!     P₇ =  7*6*5*4*3*2*1         P₇  = 5040

Now the total number will be

C₄,₃* P₇  =  120960

yes

step-by-step explanation:

which would be true for stem changing verbs?

they have a consistent spelling change in the stem of the verb.

what is different about the verb “venir” as compared to other stem-changing verbs?

only the third person forms have a stem change.

which of the following could not be considered a “stem-changing” verb?

querer

which of the following would not be condsidered an event?

desfile

what word could be used in response to the following?

¿qué quieres comprar?

quero

what word could be used in response to the following?

¿dónde uds. pueden ir?

vamos  

ellos ir al centro comercial.

yo comprar un vestido.

pedimos

dónde tú?

dormes

step-by-step explanation: