Question

The number of combinations of 4 different
objects A, B, C, D taken 2 at a time is
(a) 4 (b) 6 (c) 7 (d) 8​

Answer 1

Answer:

The number of combinations of 4 different

objects A, B, C, D taken 2 at a time is (b) 6.

Answer 2

The given question is The number of combinations of 4 different objects A, B, C, D taken 2 at a time is.

we have to find the number if combinations.

Combinations are the way of selecting the objects are numbers from a group of objects or collection, in such a way that the order of the does not matter.

Let us discuss the formulae

The number of combination of n distinct objects taken r at a times is given by

C(n, r) =nCr= n! /(n-r)!r!

The given objects are A, B, C, D

step 1:

we have to find the value of n and r

where n is 4 and r is 2

step 2:

substituting the values in the above formula we get,

4C2=

$\frac{4 \times 3 \times 2!}{2! \times 2!} \\ = 6$

Therefore the option b is correct.

The value is 6.

The possible outcomes will be

(A, B ) (A, C) ( A, D) (B, C) (B, D) (C, D)

The above are the possible combinations

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