The total possibilities can be 756 ways.
<h3>What is combination?</h3>
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
Given:
The number of ways in which we can select atleast 3 men in the committee are 756.
Number of men = 7
Number of women = 6
Number of people that should be selected in the committee = 5
Now,
N(M = 3) = 7C_3* 6C_2
=35*15
=525
N(M = 4) = 7C_4* 6C_1
=35*6
=210
N(M = 3) = 7C_5* 6C_0
=21*1
=21
So, total possibilities can be = 525 + 210 + 21 = 756 ways.
learn more about combination here:
brainly.com/question/28390900
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Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
x + 149° = 180° {Being linear pair }
x = 180° - 149°
x = 31°
Hope it will help :)❤