Olympiad Test: Possible Combinations - Class 3 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.

We have 7 girls, and each pair of girls will greet each other once.
The number of ways to choose 2 girls from 7 is given by the combination formula:

So, the word "Hello" was 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

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).