mia3128
29.09.2019 •
Mathematics
María has three children. there is a two years age difference between each child. the total ages of all three children is 36 years. rosa is the oldest child. how old is rosa? let r= the age of rosa.
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Ответ:
R, R-2 and R-4.
Together they are R + R-2 + R-4 = 36. This is an equation we can solve.
3R - 6 = 36 => 3R = 42 => R = 14
So the ages are 10, 12 and 14
Ответ:
4,200
Step-by-step explanation:
Tenemos un total de:
4 libros de matemáticas
3 libros de biología
3 libros de religión
10 libros en total.
Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.
Primer libro (tenemos 10 opciones)
segundo libro (tenemos 9 opciones, porque ya colocamos un libro)
tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)
Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:
C = 10*9*8*7*6*5*4*3*2*1 = 10!
Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.
Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.
Entonces el número total de combinaciones diferentes es:
Hay 4200 diferentes formas de ordenar los libros.