To be considered a full-time student at BYU-Idaho, a student must take at least 12 credits in a semester. The maximum number of credits a full-time student can take in a single semester is 21 credits. Assuming Laxman is not taking any part-credit classes, how many different possibilities exist for the number of credits Laxman can take to be considered a full-time student

The number of different possibilities that exist for the number of credits Laxman can take to be considered a full-time student is; 10 different possibilities.

We are told;

Minimum number of credits a full time student can take = 12 credits

Maximum number of credits a full time student can take = 21 credits

This means a full time student can take total credits from 12 credits to 21 credits.

Thus, possible credits a student can take are;

12, 13, 14, 15, 16, 17, 18, 19, 20, 21 credits.

This is a total of 10 possibilities of number of credits a full time student can take.

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The different possibilities that exist for the number of credits Laxman can take to be considered a full-time student at BYU-Idaho are 10.

Step-by-step explanation:

The least credit a student can take in a semester is 12 credits.  The maximum allowed credits in a single semester is 21.

Therefore, Laxman can choose to take from 12 to 21 credits.

Laxman can take 12, 13, 14, 15, 16, 17, 18, 19, 20, or 21 credits.  This is equal to {(21 - 12) + 1} = 10.

Laxman cannot take 11 credits and he cannot take 22 credits and there are no part-credit classes, so he is limited to 10 options.  Depending on the credit load of courses, he can combine them to achieve or not exceed 21 credits and they must not be below 12 credits.

The side length of the equilateral triangle would be 6√3. Therefore, the perimeter would be 18√3 and the area would be 27√3.

Area is derived from side length multiplied by height, which is 9, then dividing by 2.