Multiple choice

An urn contains 30 coins consisting of 18 coins of Re 1 and 12 coins of Rs. 5. Rajesh wants to select 1 coin of Re 1 and 2 coins of Rs. 5 to purchase pencil, rubber and sharpener. In how many ways can he make this selection?

  1. 2,376

  2. 216

  3. 1,188

  4. 1,836

  5. 220
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ways to select 1 coin of Re 1 from 18: 18C1 = 18. Ways to select 2 coins of Rs 5 from 12: 12C2 = (12*11)/2 = 66. Total ways = 18 * 66 = 1188.

AI explanation

Use the combinations formula to determine the number of ways to select the required coins from the urn. Rajesh needs to select 1 coin of Re 1 from the 18 available, calculated as 18C1, which equals 18. He also needs to select 2 coins of Rs. 5 from the 12 available, calculated as 12C2, which equals 66. Multiplying these independent selections gives 18 times 66, resulting in 1188. The answer is 1188.

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