Hi Please help with the following questions:


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Thanks in advance

Please help me with the following two questions:


1. What is the number of ways in which 11 identical marbles can be placed into 3 different jars such that each jar contains at least one marble ?

2. Given that 2880 = 2 to the power 6 x 3 to the power of 2 x 5, find the number of factors of 2880, including 1 and 2880.

TIA

Please help me with the following two questions:


1. What is the number of ways in which 11 identical marbles can be placed into 3 different jars such that each jar contains at least one marble ?

2. Given that 2880 = 2 to the power 6 x 3 to the power of 2 x 5, find the number of factors of 2880, including 1 and 2880.

Thanks in advance

:?: Please help with the following question:


There are some black balls and white balls in a bag. If one black ball is removed from the bag, the number of black balls left will be 1/7 of the total number of balls left. If two white balls are removed from the bag, the number of black balls left will be 1/5 of the total number of balls left.How many balls arethere in the bag?

:thankyou:

sushi88:

spvaish:

Please help me with these following questions.


1. At first, two warehouses A and B had a total of 10400 sacks of rice.After warehouse A has cleared 3/4 of its stock and warehouse B has cleared 3/5 of its stock, warehouse B now has 520 more sacks of rice than warehouse A. How many stacks of rice did each warehouse have at first?

2. At first, Dick had 2/3 as many cards as Elton. After Dick bought another 8 cartoon cards and Elton lost 5 cartoon cards, Dick now has 4/5 as many cartoon cards as Elton. Find the number of cartoon cards Dick had at first ?

TIA.

(1) Using units and parts,
A -> 4u
B -> 5p

2 parts of B -> 1 unit of A + 520
2p -> u + 520 => p -> 1/2(u+520)

5 parts of B + 4 units of A -> 10400
5p + 4u -> 10400

5(1/2(u+520)) + 4u -> 10400
5u+ 2600 + 8u -> 20800
13u->18200
u->1400
Warehouse A -> 4 x 1400= 5600
Warehouse B -> 10400-5600 = 4800 or 4 x 1/2(1400+520) =4800

(2) Using units and parts,
Before,
D->2u
E->3u

After D bought 8, E lost 5,
D->4p
E ->5p

2u+8 = 4p
3u-5 = 5p

3u-5 = 5(1/4(2u+8))
12u - 20 = 10u + 40
2u -> 60

Hence Dick has 60 cards at first and E has (3x30)=90 cards at first.

:thankyou:

Please help me with these following questions.


1. At first, two warehouses A and B had a total of 10400 sacks of rice.After warehouse A has cleared 3/4 of its stock and warehouse B has cleared 3/5 of its stock, warehouse B now has 520 more sacks of rice than warehouse A. How many stacks of rice did each warehouse have at first?

2. At first, Dick had 2/3 as many cards as Elton. After Dick bought another 8 cartoon cards and Elton lost 5 cartoon cards, Dick now has 4/5 as many cartoon cards as Elton. Find the number of cartoon cards Dick had at first ?

TIA.