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steelemaddie20
16.11.2020 •
Mathematics
Dave wants to buy a new collar for each of his 4 dogs. The collars come in a choice of 6 different colors. 1. How many selections of collars for the 4 dogs are possible if repetitions of colors are allowed?2. How many selections of collars are possible if repetitions of colors are not allowed?
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Ответ:
1296
360
Step-by-step explanation:
Given that :
Number of dogs = 4
Different choices of collar available = 6
How many selections of collars for the 4 dogs are possible if repetitions of colors are allowed?
Then each of the 4 dogs can make 6 distinct choices :
6 * 6 * 6 * 6 = 6^4 = 1296
2. How many selections of collars are possible if repetitions of colors are not allowed?
If repetition isn't allowed :
Then we permutate :
6P4
Recall:
nPr = n! / (n - r)!
6P4 = 6! / (6 - 4)!
6P4 = 6! / 2!
6P4 = (6*5*4*3)
6P4 = 360
Ответ:
mass of one book: 0.25 kg or 250 grams
Step-by-step explanation:
mass of all books = packed carton weigh - empty carton weight
mass of all books = 7.2 - 1.2
mass of all books = 6 kg
so if 24 books weight 6 kg
1 book will weigh (6/24) → 0.25 kg or 250 grams.
answered by-fieryanswererft