Answer:
48t^4
Step-by-step explanation:
First you simplify and cross out all the uneeded characters because this is a division equation
Then whatever is left you calculate it
a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip
1 answer:
Well, you could assign a letter to each piece of luggage like so...
A, B, C, D, E, F, G
What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.
My answer and workings are below...
35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.
210 arrangements (35 x 6) when order is taken into consideration.
*There are 6 ways to configure 3 letters.
Alternative way to solve the problem...
Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.
A, B, C, D, E, F, G
What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.
My answer and workings are below...
35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.
210 arrangements (35 x 6) when order is taken into consideration.
*There are 6 ways to configure 3 letters.
Alternative way to solve the problem...
Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.
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Answer:
Maria had 105 beads at first.
Step-by-step explanation:
Let number of beads Maria have be x.
Let number of beads Farida have be y.
Given:
Maria and Farida has 250 beads altogether.
Hence equation is represented as;
Also Given:
Maria used 18 beads to make a bracket.
hence bead left with maria =
farida gave away 2/5 of her beads.
Hence beads left with Farida =
Also they have the same number of beads left.
bead left with maria = beads left with Farida
Now Multiplying equation 1 with 3 we get;
Now adding equation 2 by equation 3 we get;
we know the value of x = 105
hence substituting value of x in equation 1 we get;
Maria had 105 beads and Farida had 145 beads at first.
Final Answer: Maria had 105 beads at first.