At A Prestigious Dog Show, Six Dogs Of Different Breeds Are To Be GMAT Problem Solving

Question: At a prestigious dog show, six dogs of different breeds are to be displayed on six adjacent podiums. If the Springer spaniel must be dis-played on the leftmost podium, how many display arrangements of the six dogs are possible?

1. 5
2. 6
3. 30
4. 120
5. 240

“At a prestigious dog show, six dogs of different breeds are to be” - is a topic that is covered in the quantitative reasoning section of the GMAT. To successfully execute the GMAT Problem Solving questions, a student must possess a wide range of qualitative skills. The entire GMAT Quant section consists of 31 questions. The problem-solving section of the GMAT Quant topics requires the solution of calculative mathematical problems.

Approach Solution : 1

Six dogs of various breeds are to be displayed on six adjacent podiums at a prestigious dog show. The leftmost podium must be used for the Springer spaniel. The

Question asks for the number of possible display arrangements of the six dogs.

This question is simply easy as it is clearly given that the leftmost podium must be used for the Springer spaniel.

So we have to remove one from the number of dogs to find the possible number of arrangements as that one particular dog breed will have the same podium always.

Now to find the answer, all we have to do is do the necessary calculations with the number 5.

For this kind of question we have to find the factorial of that number.

5!= 1*2*3*4*5=120

Therefore there are 120 possible display arrangements

Correct Answer: (D)

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