Graduate Management Admission Test (GMAT) 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

Is ⁶C₁ equal to ⁶P₁?

Yes, equals 6

To understand whether ⁶C₁ is equal to ⁶P₁, it's crucial to look at what these notations represent.

⁶C₁ denotes the number of combinations of 6 items taken 1 at a time. The formula for combinations is given by:

ⁿCᵣ = \frac{n!}{r!(n-r)!}

In this case, we have:

⁶C₁ = \frac{6!}{1!(6-1)!} = \frac{6!}{1! \times 5!} = \frac{6 \times 5!}{1 \times 5!} = 6

This means there are 6 ways to choose 1 item from a set of 6.

⁶P₁ represents the number of permutations of 6 items taken 1 at a time. The formula for permutations is given by:

ⁿPᵣ = \frac{n!}{(n-r)!}

For this case, we have:

⁶P₁ = \frac{6!}{(6-1)!} = \frac

Yes, equals 1

Only for larger numbers

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