Answer:
a) N = 240 ways
b) N = 303,600 ways
c) N = 10 ways
Step-by-step explanation:
a) Given
General course consist of one course from each of 4 groups.
Social Science = 5 options
Humanities = 4 options
Natural sciences = 4 options
Foreign language = 3 options.
Therefore the total number of possible ways of selecting one each from each of the 4 groups is:
N = 5×4×4×3 = 240 ways
b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.
N = nPr = n!/(n-r)!
n = 25 and r = 4
N = 25P4 = 25!/(25-4)! = 25!/21!
N = 303,600 ways
c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.
N = 5!/(5-5)!(2!)(3!)
N = 5×4/2
N = 10 ways
keeping in mind that functions do not have X-repeats, namely the x-coordinate of every pair is different, let's check this one, Check the picture below.
Answer: x=-6
Step-by-step explanation:
Answer:
6 : 16, 12 : 32 and 18 : 48.
Step-by-step explanation:
Answer;
If a person walks 2.4 miles in 10 minutes, how far can he walk in 1.5 hours?
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1.5 hours = 90 minutes
That's 9x the time, so the person will walk 9x the distance.
2.4*9 = 21.6 miles.