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12 mixed nuts packs
Explanation:The box weighs 16 1/2 ounces
1 mixed nut = 1 3/8 ounces
let the number of fruit mixed nut in the box = y
1 mixed nut = 11/8 ounces
y = 33/2 ounces
cross multiply:
There are 720 ways through which 3 numbers can be selected from 10 numbers to open a keypad lock.
Given that there are 10 numbers are 3 numbers are required to open a keypad lock.
Permutations are the number of ways in which objects can be selected without replacements to form subsets.
It is expressed as n=n!/(n-r)!.
Factorial of a number is the product of consecutive numbers less than the number.
Total numbers available=10
Numbers to be selected=3
Number of ways can be found by using permutations.
Number of ways =10
=10!/(10-3)!
=10!/7!
=10*9*8*7!/7!
=10*9*8
=720 ways.
Hence there are 720 ways through which 3 numbers can be selected from 10 numbers.
Learn more about permutations at brainly.com/question/1216161
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We know, shortest distance between two points and
is :
So, distance between house and library is :
Distance between library and post office :
Distance between post office and house :
Therefore, minimum distance that you can ride your bike is (5.39+7.07+7) km = 19.46 km.
Hence, this is the required solution.