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There are 3 types of toy car and 2 type...

There are 3 types of toy car and 2 types of toy train are available in a shop. Find the number of ways a baby can buy a toy car and a toy train ?

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(i) A person went to a restaurant for dinner. In the menu card, the person saw 10 Indian and 7 Chinese food items. In how many was the person can select either an Indian or a Chinese food? (ii) There are 3 typesof toy car and 2 types of toy train available in a shop. Find the number of ways a baby can buy a toy car and a toy train? (iii) How many of two-digit numbers can be formed using 1,2,3,4,5 without repetiton of digits? (iv) There persons enter in to a conference hall in which there are 10 seats, In how many ways they can take their place? (v) In how many ways 5 persons can be seated in a row?

A company manufactures two types of toys A and B. A toy of type A requires 5 minute for cutting and 10 minute for assembling. A toy of type B requires 8 minute for cutting and 8 minutes for assembling. There are 3 hours available for cutting and 4 hours available for assembling th etoys in a day. The profit is Rs 50 each on a toy of Type A and Rs 60 each on a toy of type B. How many toys of each type should the company manufacture in a day to maximize the profit ? Use linear programming to find the solution.

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Represent the following situations mathematically: A toys industry produces a certain number of toys in a day. The cost of production of each toy (in rupese) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.