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Bunuel
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To earn a joint degree, a student must take any two math classes from 18 Aug 2023, 01:30
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15% (low)

Question Stats:

83% (01:27) correct 17% (01:48) wrong based on 134 sessions

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To earn a joint degree, a student must take any two math classes from the eight math classes that are offered and any two physics classes from the nine physics classes that are offered. How many different combinations of classes can a student take if he or she wishes to earn a joint degree?

A. 68

B. 288

C. 988

D. 1,008

E. 4,032



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D
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RitwikAgrawal
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To earn a joint degree, a student must take any two math classes from 18 Aug 2023, 04:47
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Setup:

Available - 8 Math | 9 Physics
Required - 2 Math | 2 Physics

Equation need:

8C2 * 9C2 =1008

(D)
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To earn a joint degree, a student must take any two math classes from 18 Aug 2023, 05:21
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Bunuel
To earn a joint degree, a student must take any two math classes from the eight math classes that are offered and any two physics classes from the nine physics classes that are offered. How many different combinations of classes can a student take if he or she wishes to earn a joint degree?

A. 68

B. 288

C. 988

D. 1,008

E. 4,032



Show more


Here we have to select 2 of the 8 Math classes AND 2 of the 9 Physics classes. We can simply do this in
\(C_2^8 * C_2^9 = \frac{8*7}{2} * \frac{9*8}{2} = 28 * 36 = (30 - 2)(30 + 6) = 900 + 120 - 12 = 1008\) ways

Answer (D)

Check this video for a discussion on Combinations: https://youtu.be/tUPJhcUxllQ
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To earn a joint degree, a student must take any two math classes from 18 Aug 2023, 10:21
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8C2∗9C2 = [(8*7)/2]*[(9*8)/2] = (4*7)*(9*4) = 1,008
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To earn a joint degree, a student must take any two math classes from 18 Aug 2023, 10:32
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Bunuel
To earn a joint degree, a student must take any two math classes from the eight math classes that are offered and any two physics classes from the nine physics classes that are offered. How many different combinations of classes can a student take if he or she wishes to earn a joint degree?

A. 68

B. 288

C. 988

D. 1,008

E. 4,032



Show more

Maths:
Total - 8
Need - 2

Physics:
Total - 9
Need 2

Notice a student must take any two math classes from the eight math classes that are offered and any two physics classes from the nine physics classes that are offered
So we multiple Both Combinations

=> 8C2 * 9C2 = \(\frac{8!}{2!*6! }*\frac{ 9!}{2!*7!}\)
Which Simplifies to 1008
Answer is D. 1,008
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To earn a joint degree, a student must take any two math classes from 15 Oct 2024, 05:30
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