Acme insurance sells life, car, and renter\'s insurance. The number of clients w

Question

Acme insurance sells life, car, and renter's insurance. The number of clients with life is 286. The number of clients with car insurance is 257. The number of clients with renter's and car insurance is 95. The number of clients with life insurance and car insurance is 91. The number of clients with all three products is 15. The number of clients with renter's insurance only is 46 more than the number of clients with car insurance only. The number of clients with only one product is 290. What is the total number of clients? (Assume that all clients have at least one policy).

Explanation / Answer

here let life, car, and renter's insurance are A ,B and C

therefore from above

A=286 ; B=257 ; BnC =95 ; AnB=91 ; AnBnC =15

C =B+46 =256+46=302

number of client with only one product=A+B+C-2(AnB)-2(AnC)-2(BnC)+3(AnBnC) =290

286+257+302-2*95-2*(AnC)-2*91+3*15=290

(AnC) =114

hence total numebr of clients =AUBUC =A+B+C-(AnB)-(AnC)-(BnC)+(AnBnC)=286+257+302-95-114-91+15=560

please revert for any clarification required

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.