In a survey conducted by helena, a financial consultant, it was revealed of her 426 clients
288 own stocks.
200 own bonds.
184 own mutual funds.
123 own both stocks and bonds.
106 own both stocks and mutual funds.
102 own both bonds and mutual funds.
how many of helena's clients own stocks, bonds, and mutual funds? (assume each client invested in at least one of the three types of funds.)

There are 85 Helena's client own stocks, bonds and mutual funds.

Step-by-step explanation:

Since we have given that

Let A: who own stocks

B : who own bonds

C : who own mutual fund

So, According to question,

n(A) = 288

n(B) = 200

n(C) = 184

n(A∩B) = 123

n(B∩C) = 106

n( A∩C) = 102

n(A∪B∪C) = 426

As we know the formula :

Hence, there are 85 Helena's client own stocks, bonds and mutual funds.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b