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Class 11MathematicsPermutations and CombinationsCombinationsExpert
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How many nonnegative integer solutions of (x_1+x_2+x_3+x_4=18) satisfy (x_1\le5)?

Answer and explanation

Correct answer: (875)

Subtract ( \binom{15}{3} ) cases with (x_1\ge6) from total ( \binom{21}{3} ), giving (875). For upper limits, subtract forbidden solutions.

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Class11CombinationsUpper-BoundSolutionsExpertPermutations And CombinationsMathematicsClass 11 Mcq
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