Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed. The club holds a round-robin tournament in which every
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Answer:
The number of ways is equal to
Step-by-step explanation:
The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are
n1 x n2 x ... x ni
Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.
For example : We want to put 4 different objects in a row.
The total ways to do this are ways.
Using the multiplication principle and the n-factorial number :
The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒
Answer: 105 sandwiches can be made from all the peanut butter.
Step-by-step explanation:
Given: Total jars of peanut butter = 21
Part of peanut butter required for each sandwich =
Total number of sandwiches made = ( Total jars of peanut butter ) ÷ (Part of peanut butter required for each sandwich)
Hence, 105 sandwiches can be made from all the peanut butter.