Practice30Create account

Three side-by-side stripes of a flag are to be coloured using 5 colours. Neighbouring stripes must differ, but the two outer stripes may match. How many colourings are possible?

Competition practicePermutations & Combinations
  • A60
  • B80
  • C125
  • D100

Step-by-Step Solution

Left stripe: 5 colours. Middle: anything but the left one, 4. Right: anything but the middle one, 4. . (60 forbids the outer stripes from matching.)
Answer: B) 80

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Permutations & Combinations practice questions

More Permutations & Combinations practice

In how many arrangements of the letters of FATHER do the vowels sit in the 2nd and 5th…The figure shows 5 points on one line and 4 points on another line parallel to it. How…Without repeating a digit, how many numbers between 3000 and 4000 can be formed from the…A shelf holds 3 identical copies of a Hindi book, 4 identical copies of an English book…On the street grid shown, a courier moves only east (right) or north (up) from A to B.…