Number of methods =4! -C(4, 1)*3! +C(4,2)*2! -C(4,3)* 1! +C(4,4)*0! =9 species
It is also possible to discuss this situation:
One of the three positions behind row A has C(3, 1)=3 methods.
Then discuss, for example, A ranks in the third position: then if C ranks in the position of A, then B and D are left, and only 1 is the sorting method; If C is not in the position of A, then one of B and D will be in the position of A. Once it is determined whether it is B or D, the sorting method is determined. There are two kinds at this time.
So after the position of A is determined, there are 1+2=3 methods, so a * * * has 3*3=9 methods.
The second problem is to send in the air:
First, the two old people are regarded as a whole. Then there are five kinds of A (5,5), four of which are empty, that is, A (5,5) * 4 * 2 = 960.
The third question:
* * * has 22 children.
Process:
200-2= 198
198= 1 1*2*3*3=22*9
So, the answer is 22.
In other words, 22 counts are exactly one lap.
The fourth question:
100g After pouring out 40g of salt water, it is 60g 80% 80% salt water with a salt content of 60 * 0.8 = 48g. Adding 40g of water is 48÷ 100=48%. After pouring out 40 grams of water, it is now 60 grams of 48% saline, so the final concentration is (60
The fifth question:
Because the first pile is 1/4 more than the second pile, the first pile is 5/4 times that of the second pile, 7/8 times that of the second pile and 7/8 times that of the first pile after transporting 3.6 tons from the first pile.
The second coal pile: 3.6/(5/4-7/8) = 9.6 (ton)
First coal pile: 9.6 * 5/4 = 12 (ton)
One last question:
20 species