6th Maths Term 1 Unit 6 Information Processing Exercise 6.1 Solutions

6th Maths : Term 1 Unit 6 : Information Processing

Exercise 6.1

Questions with Answers, Solution

1. Suppose, you have two shorts, one is black and the other one is blue; three shirts which are in white, blue and red. You again wish to make different combinations, but you always want to make sure that the shorts and shirt that you wear are of different colours. List and check how many combinations are possible now.
Answer:

No. of shorts − 2 ———————— No. of shirts − 3

Blue − 1; Black − 1 ——————— Blue − 1 ; white−1 ; red − 1

Different combinations −> different in combinations.

Short:
Blue, Blue, Black
Black, Black, Blue

Shirt:
White, Red, Blue
White, Red, Blue

Answer: ‘6’ combinations
2. You have two red and two blue blocks. How many different towers can you build that are four blocks high using these blocks? List all the possibilities.
Answer:

Blocks − Red − 2 − Blue – 2

Possible towers:

  1. R R B B
  2. R B R B
  3. B R B R
  4. B R R B
  5. B B R R
  6. R B B R
Answer: ‘6’ possibilities.

Answers:

Exercise 6.1

(1) 6 combinations are possible,

Black − White ; Black − Blue ; Black − Red

Blue − white ; Blue − Blue ; Blue − Red

(2) 6 possibilities,

R-B-R-B   R-R-B-B   B-R-R-B
B-R-B-R   B-B-R-R   R-B-B-R