Olympiad Test: Possible Combinations - Class 4 MCQ

The possible ways: AFEDCG, AHEDCG, AFEG, AHBG, AFEHBG and AHEG. 

Possible ways: ABCDE, ABIFE, ABIDE, AHIDE, AHGFE, AHIFE.

Different possible ways are: ACDF, ACBDF, ACBDEF, ABDF, ABDEF, ACDEF.

When seven girls greet each other, each pair of girls says "Hello" once. To find how many pairs there are:

1. The first girl greets 6 others.
2. The second girl greets 5 new girls (since she already greeted the first).
3. The third girl greets 4 new girls, and so on.

Adding these:

6+5+4+3+2+1=21

So, the word "Hello" is said 21 times.

Pencils (p1, p2, p3,) and Rubber caps (c­1, c2, c3, c4,) possible combinations:

You can use the fundamental counting principle to solve this problem.

The fundamental counting principle states that if there are "m" ways to do one thing and "n" ways to do another thing, then there are "m x n" ways to do both things.

In this case, there are 4 ways to choose a T-shirt and 2 ways to choose a trouser. Therefore, there are 4 x 2 = 8 possible combinations of 1 T-shirt and 1 trouser that can be formed from 4 T-shirts and 2 trousers.

So, the correct answer is:

C) 8

The word "TIGER" has 5 letters: T, I, G, E, and R. These letters are connected by lines.
To form the word "TIGER," we need to follow the lines from T to I, from I to G, from G to E, and from E to R.
By looking at the lines, there are 6 different ways you can move from one letter to the next to form the word.
So, the answer is 6.

(i) Tanu took 20 minutes, the least time, so she finished first.

(ii) Zarrin took 40 minutes, the most time, so she finished last.

Answer: B. Tanu, Kavita

6 children : (P, Q, R, S, T and U) Possible combination of handshakes: (P, Q), (P,R), (P,S), (P,T), (P,U,) (Q,R) (Q,S), (Q,T), (Q,U), (R,S), (R,T), (R,U), (S,T), (S,U), (T,U).

(i) There are 5 boys and 4 girls.

(ii) We can choose 1 boy in 5 ways and 2 girls in 6 ways.

So, the total combinations = 5 × 6 = 30.

But the correct answer is B. 12.