From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. In how many ways can the committee be formed if one man and one woman refuses to serve tog

910

Step-by-step explanation:

From the given information;

Suppose that everyone served together;

Then, we have:

= C(8,3) × C(6,3)

=

=

= 1120

But since 1 man and 1 woman refuses to serve together;

Then:

The combination will be:

= C(7,2) × C(5,2)

=

=

= 210

∴

1120-210 = 910

Thus, the number of ways committee can be formed = 910

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: