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Q.

A person always prefers to eat parantha and vegetable dish in his meal. How many ways can he make his platter in a marriage party if there are three types of paranthas, four types of vegetable dish, three types of salads, and two types of sauces?

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a

3360

b

4096

c

3000

d

none of these

answer is A.

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Detailed Solution

The number of ways he can select at least one parantha is 23 - 1 = 7. The number of ways he can select at least one vegetable dish is 24 - 1 = 15. The number of ways he can select zero or more items from salads and sauces is 25.Hence, the total number of ways is 7×15×32=3360.
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