Yes
(5c - 2)(c +1)
There are 5C2 = 5*4/(2*1) = 10 combinations.
The probability of drawing two jacks and three tens of any suite from a standard deck of cards is: 5C2 ∙ (4/52)∙(3/51)∙(4/50)∙(3/49)∙(2/48) = 0.00000923446... ≈ 0.0009234% where 5C2 = 5!/[(5-2)!∙(2!)] = 10
The answer is 3C2*4C4*5C2 = [3 * 1 * (5*4)/(2*1)] = 3*1*10 = 30 ways.
Yes
he can choose the answer in this way, 5c1*5c3+5c2*5c2+5c3*5c1 evaluate, the answer will be 200.
(5c - 2)(c +1)
No. A monomial cannot have the variable c to different powers.
There are 5C2 = 5*4/(2*1) = 10 combinations.
The probability of drawing two jacks and three tens of any suite from a standard deck of cards is: 5C2 ∙ (4/52)∙(3/51)∙(4/50)∙(3/49)∙(2/48) = 0.00000923446... ≈ 0.0009234% where 5C2 = 5!/[(5-2)!∙(2!)] = 10
This one is much more straightforward. There are 5C2 = 10 ways to choose two parallel lines from the set of five. There are 4C2 = 6 ways to choose two parallelograms from a set of four. Any parallelogram is uniquely determined by one pair of lines from the five, and one pair of lines from the four. Thus, the number of possible parallelograms is(5C2)*(4C2) = (10)*(6) = 60
The answer is 3C2*4C4*5C2 = [3 * 1 * (5*4)/(2*1)] = 3*1*10 = 30 ways.
Since any two point must be collinear and must, therefore, define a line, the answer is 5C2, the number of combinations of two [points] out of five. This is 5*4/(2*1) = 10
To determine the number of rectangles in a 4 by 4 square, we can use the formula for the number of rectangles in an n by m grid, which is (n*(n+1)m(m+1))/4. In this case, n = 4 and m = 4, so the number of rectangles would be (4*(4+1)4(4+1))/4 = 40 rectangles. This includes all possible rectangles of different sizes that can be formed within the 4 by 4 square.
There are 3 consonants from 21 and 2 vowels from 5. That gives 21C3 * 5C2 combinations = 21*20*19/(3*2*1) *5*4/(2*1) = 1330*10 = 13300 combinations in all.
Depends, but assuming that you take the occurances of girls and boys born to be equal (Which for all intents and purposes they are). The number of possibilities is 5C2 which is worked out from the formula 5!/2!(5-2)! =120/12 =10 Each of the possibilities are 1/2*5 = 1/32 So the total possibility is 10/32