Answer the following questions. a. how many different strings can be made using all letters of the word abracatabra? b. write a longest possible string with no repetitions using the letters of the word abracatabra

a. 83,160.

b.  abrct.

Step-by-step explanation:

If all the letters were different the number would be 11! but there are 5 A's so we divide by 5! . Also there are  2 b's so we divide by 2! and 2 r's so we divide by another 2!

a. Number of strings =  11! / (5! 2! 2!)

= 11*10*9*8*7*6 / 4

= 11*10*9*2*7*6

= 83,160.

b. That would be abrct.

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign