Computer Science, asked by vjc, 10 months ago

In shooting shooting competition a man can score 0 2 9 4 points for each short then the number of different ways in which we can score 14 points in 5 shots is?​

Answers

Answered by rajgraveiens
0

30 Ways in which we can score 14 points in 5 shots.

Explanation:

Since, we have to score 14 in 5 shots using the scores 0,2,9,4

  • On observing the scores we can score, there is only one possible odd number score that is 9.
  • Therefore, to obtain 14 that is even score in 5 shots we have to add only even numbers or even number of odd numbers.
  • But adding two odd numbers, 9+9 gives 18 which exceeds required score of 14 points.
  • Therefore, we have to obtain the score 14 only from 0,2,4 scores.
  • only choosing 2's we can meet the requirement as we need 7 chances.
  • choosing one 4 we can get again as we need 6 chances
  • choosing two 4's, we need three 2's.------(1)
  • choosing Three 4's, we need one 2.-------(2)
  • these are the only two possibilities.
  • Therefore, (1) can be scored by Two 4's, Three 2's in ⁵C₂= 10 ways
  • (2) can be scored by three 4's, one 2 and one 0 in ⁵C₃*²C₁=20 ways.
  • therefore, totally we can score 14 in 5 shots in 30 ways.

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