Time Questions
I am expecting some good solutions for the following questions
Each face of a cube is coloured with exactly one colour from among Red, Blue and Green.
Q1. In how many ways can all the faces of the cube be coloured such that exactly two faces are coloured blue?
a. 16 b. 10 c. 15 d. None of these
Q2. In how many ways can the all the faces of the cube be coloured such that the number of faces painted blue is either 2 or 3?
a. 10 b. 24 c. 26 d. None of these
Q3. 2100! = (504)p x Q, and Q is not a multiple of 7, what is the value of P?
a. 4 b. 348 c. 522 d. 698
If you don’t know how I got the number 348. It’s simple [2100/7] + [2100/49] + . . . . .
In the question there is no 5th option (e) Non of the above
And in 2100! We have enough so there is no problem.
n/a
ansr 2 q 1 z b (10)
how i solvd dat...
faces left = 4
3*1+2*2+1*3=10(means 3 faces painted with red n 1 with green n + 2 with red n 2 with green + 3 with green n 1 with red)
thnx
Thanks nishit for the great explanation . . .time solutions are such horrible . . .
answer for the first and second qs are 16 and 26
Yes Nishit. I too beleive your explanation and approach is correct.
The future belongs to those who beleive in the beauty of their dreams. Kudos to your effort.
n/a
For 2 faces of the cube to be painted blue, we consider the following scenarios:
faces left = 4
3*1+2*2+1*3=10(means 3 faces painted with red n 1 with green n + 2 with red n 2 with green + 3 with green n 1 with red)
thnx
For the 3 faces of the cube to be painted blue:
faces left = 3
So the cases are (2 G and 1 R) and (2R and 1 G) = 2*2*1 = 4.
and it may also be all the three faces are coloured either Red or Green, which can be doen in ( 3*2*1) * 2 = 12 ways
So the total number of ways is = 10 + 4 + 12 = 26.
Please correct me if I am wrong.
The future belongs to those who beleive in the beauty of their dreams.
n/a
soln 2 q3...
is da ansr a i.e 4...
how i calculatd dat..
1.i ve used d same funda...like finding 2 n 5 in 120 !....how v find dat by keep on dividing dat...120/5=20; thn 20/5= 4...so total no f 5 s r= 24 in 120 !
2. by looking at options...other looks vague..!
correct me if um wrong