Mathematics
02.09.2020 21:00
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Twelve students ask to visit a college admissions counselor. the counselor can meet

Twelve students ask to visit a college admissions counselor. the counselor can meet with one student at a time. in how many ways can seven time slots be assigned?
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dinarussell74
dinarussell74
4,4(69 marks)

792

Step-by-step explanation:

Given : Twelve students ask to visit a college admissions counselor. The counselor can meet with one student at a time.

To Find:In how many ways can seven time slots be assigned?  

Solution:

Total number of students = 12

No. of slots = 7

Counselor can meet 1 student at one time slot.

So, to find the number of ways in which  seven time slots can be assigned we will use combination:

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 12

r = 7

Substitute the given values :

^{12}C_7=\frac{12!}{7!(12-7)!}

^{12}C_7=\frac{12 \times 11\times 10 \times 9\times 8\times 7! }{7!(5)!}

^{12}C_7=\frac{12 \times 11\times 10 \times 9\times 8}{5 \times 4\times3\times2\times1}

^{12}C_7=792

Thus there are 792 ways in which seven time slots can be assigned.

daniel7363
daniel7363
4,5(36 marks)

Maybe this can help you with your confusion


Can someone please help answer these questions using the list words on the right to match it!!!

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