A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are studying. 71 of the students surveyed studies at least one of the two languages. Complete Venn diagram. How many students study Spanish

You will separate 71 of the students into a + b

the remainder that studied both simultaneously go in the middle, less those that don't study any language that goes at the bottom of the diagram.

To find out who studied Spanish you add up the ones in the middle and the ones with a or b you have to determine whether it is a or b that study Spanish then add with the ones in the middle that study both. If A studies Spanish then its all the first values in the attachment. If it is b then its the second values in the attachment both show the middle value too.

The third values show the inverse of A

= all those that are not in A and includes all those that dont study any language.

You only need the first diagram value or the 2nd value diagram in the attachment.

Step-by-step explanation:

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: