🎯 Final Answer: The total number of ways the letters of LEADING can be arranged such that the vowels always come together is 720! 🎊

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Remember: Group the vowels together as a single "block" or unit.(Treat the vowels as one entity so they always stick together.) Count the remaining units:The number of units to arrange = Total...

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Remember : We need to select 3 consonants from the 7 available consonants. The number of ways to do this is given by the combination formula (nr)\binom{n}{r}(rn​), where n is the total number and r is...

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Quick trick! 🎉 The word LEADER has 6 letters, with E repeating twice. The number of arrangements is 6!2!=360\frac{6!}{2!} = 360. 🎉

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Quick trick! 🎉 Total ways to select 4 children from 10 (6 boys, 4 girls): (104)=210\binom{10}{4} = 210 Ways to select 4 girls (no boys): (44)=1\binom{4}{4} = 1 Subtract the no-boy case from the...

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We need to form 3-digit numbers using the digits 2, 3, 5, 6, 7, 9 ✅ Divisible by 5 ✅ No repeated digits Step 1: Check divisibility by 5 🔢 For a number to be divisible by 5, its last digit must...

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Quick Trick: Calculate combinations for men: C(8,5)=56C(8, 5) = 56. Calculate combinations for women: C(10,6)=210C(10, 6) = 210. Multiply the results: 56×210=1176056 \times 210 = 11760. So,...

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Let's solve this step by step in a simple and fun way! 🎉 Step 1: Identify the given balls ⚪⚫🔴 The box contains: 2 White balls ⚪⚪ 3 Black balls ⚫⚫⚫ 4 Red balls 🔴🔴🔴🔴...

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