Question
From a group of 8 girls and 7 boys, a committee of 9 is
to be formed. In how many ways can the committee be formed if it must include at least 6 girls?Solution
Case I: 6 girls and 3 boys
Number of ways = 8C6 × 7C3 = 28 × 35 = 980 ways
Case II: 7 girls and 2 boys
Number of ways = 8C7 × 7C2 = 8 × 21 = 168 ways
Case III: 8 girls and 1 boy
Number of ways = 8C8 × 7C1 = 1 × 7 = 7 ways
Total number of ways = 980 + 168 + 7 = 1155 ways
If x = 99, then the value of x5 - 100x4 + 100x3 - 100x2 + 100x - 1 is
What value should come in place of question mark (?) in the following question. (You need not to calcualte the exact value)
(36.004 + 34.997)
Simplify:
7x + 9y - [(14x + 5y) - (5x + 3y) + 4y] - 5x- If x² - 2x + 1 = 0, then find the value of (x + x⁻¹)².
ABCD is a cyclic quadrilateral in which AB =16.5 cm. BC = x cm. CD= 11 cm. AD 19.8 cm, and BD is bisected by AC at O. What is the value of x?
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What will come in the place of question mark (?) in the given expression?
(360 ÷ 24 + 105)% of ? = 48
If x = 21, then the value of x5 - 22x4 + 22x3 - 22x2 + 22x - 1 is
If n = 6 + √13, then find the value of (n + 1/n)².
In a class of 70 students and 25 teachers, each student got gifts that were 20% of total number of students and each teacher got gifts that were 10% of ...
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