Answer: Yana has 8 bathing suits.
Step-by-step explanation: Given that the ratio of Dina’s bathing suits to Yana’s bathing suits was 4 : 1 and Dina has 24 more bathing suits than Yana.
We are to find the number of bathing suits that Yana has.
Let 4x and x represents the number of bathing suits that Dina and Yana have respectively.
Then, according to the given information, we have

Therefore, the number of bathing suits that Yana has is given by

Thus, Yana has 8 bathing suits.
The coefficients are the numbers next to a variable (which is X in this case). Therefore, the coefficients here are 4 and 8
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.