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OLga [1]
2 years ago
11

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

Mathematics
1 answer:
weeeeeb [17]2 years ago
6 0

Answer:

20,475\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

n=28\\r=4

substitute

C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}

simplify

C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}

C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}

C(28,4)=20,475\ ways

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erik [133]

Answer: Our required probability is 0.65.

Step-by-step explanation:

Since we have given that

                      18-20                  Not 18-20           Total

Male                0.23                    0.35                 0.58

Female            0.16                     0.26                0.42

Total                0.39                    0.61                   1

P(female or between 18-20) = P(female) + P(18-20) - P(Female and 18-20)

P(female or between 18-20) =  0.42+0.39-0.16

P(female or between 18-20) = 0.65

Hence, our required probability is 0.65.

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Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people c
Alex17521 [72]

Answer:

a)X=3300

b)Y=7770

Step-by-step explanation:

From the question we are told that:

Number Teachers T=6

Number Student S=12

Number in committee n=5

a) Generally the equation for exactly 3 students on the committee is mathematically given by

X=^{S}C_3*^{T}C_3

X=^{12}C_3*^{6}C_3

X=3300

b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by

Total Ways-(no of ways of selection no teacher or student)

Where total Ways

T=^{(6+12)}C_5

T=8568

Therefore

Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5

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Answer:

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