Question

On a test, Robert has been presented with 15 vocabulary words and 15 definitions. He is being asked to match each vocabulary word to appropriate definition. How many different ways are there for Robert to do the matching?

Answer 1

15! ways

Explanation:

15! =1.307 × 10¹²

For the first word, he has 15 options

For the second word, 14 options

.

.

.

For the last word, 1 option

Total possibilities:

15 × 14 × 13 × 12 × ...... × 1 = 15!

Answer 2

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Explanation:

It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Because the first vocab has 15 definitions to match

the second then be left with 14 definitions ( cause the first one match with 1 def already

the third has 13 definition

so on ...

hope this help