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How many combinations can you make with 1000 numbers?
There are 21000 - 1 combinations. Remember that in a combination the order of the numbers does not matter. That is relevant only for permutations which are not the same thing. For each combination, each one of the 1000 numbers can be in or out. So for each combination there are 1000 choices of in or out. Except that if all are out, you get a null combination - that is, a combination with no numbers. For that particular case you subtract the 1 from the total. You will have 1 combination consisting of 1000 numbers, 499500 of 2 numbers and so on. The number of combinations will be the nth row of Pascal's triangle.
What is the transpose of a matrix?
Take each row and convert it into a column. The first row becomes the first column, the second row, the second column, etc.
In a one-to many relationship each row in the first table may be associated with many row in the second table true or false?
true
How do you arrange 10 plants in 5 rows and each row contains 5 plants?
by 2 rows
A group of 48 students must be arranged in rows Each row must have the same number of students If there must be at least 6 students in each row how many possible arrangement are there What are they?
8 rows of 6 students 6 rows of 8 students 4 rows of 12 students 3 rows of 16 students 2 rows of 24 students 1 row of 48 students
Why do the rows double in the pascal's triangle when you add them up?
Each element of a row of pascal's triangle is the sum of the two elements above it. Therefore when you some the elements of a row, each of the elements of the row above are being summed twice. Thus the sum of each row of pascal's triangle is twice the sum of the previous row.
What is the sum of row five in pascal's triangle?
The Fifth row of Pascal's triangle has 1,4,6,4,1. The sum is 16.
What is the sum of all the numbers in row 50 of Pascal's triangle?
The sum of the numbers in each row of Pascal's triangle is twice the sum of the previous row. Perhaps you can work it out from there. (Basically, you should use powers of 2.)
What is the sum of the fifteenth row of pascal's triangle?
The sum of the numbers on the fifteenth row of Pascal's triangle is 215 = 32768.
Does the sum of pascal's triangle equal 2N in each row?
No. It's n^2
What is the sum of the numbers in the 11Th row of Pascal's Triangle?
When evaluating row n+1 of Pascal's triangle, each number from row n is used twice: each number from row ncontributes to the two numbers diagonally below it, to its left and right. From this it is easily seen that the sum total of row n+1 is twice that of row n. The first row of Pascal's triangle, containing only the single '1', is considered to be row zero. Its total, 1, is given by 20. From the above observations, we can conclude that the total of row n is given by 2n. For the eleventh row: 211 = 2048.
What is the perimeter of row 6 in pascal triangle?
7
Explain the sum of the numbers in each row in Pascal's triangle?
the horizontal sums doubles each time the sum of row 1 = 1 row 2= 2 row 3 = 4 row 4 = 8 row 5 = 16 etc etc.......... the horizontal sums doubles each time the sum of row 1 = 1 row 2= 2 row 3 = 4 row 4 = 8 row 5 = 16 etc etc..........
How is the pascal triangle and the binomial expansion related?
If the top row of Pascal's triangle is "1 1", then the nth row of Pascals triangle consists of the coefficients of x in the expansion of (1 + x)n.
What is the 10th term in the 200th row of pascal's triangle?
1,429,144,287,220
What is the sum of the numbers in the seventh row of pascal s triangle?
64
How many odd numbers are in the 20th row of the pascal's triangle?
4
