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How many different words can be formed b...

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent? (A) `7.^6C_4.^8C_4` (B) `8.^6C_4.^7C_4` (C) `6.7.^8C_4` (D) `6.8.^7C_4`

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How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent? (1) 8""dot^6C_4dot^7C_4 (2) 6""dot""7""dot^8C_4 (3) 6""dot""8""dot^7C_4 (4) 7""dot^6C_4dot^8C_4

(A) 7 (B) 8 (C) 6 (D) 9

Verify that 2 ""^(7)C_(4)=""^(8)C_(4) .

^8C_(2)+^(8)C_(3)+^(8)C_(4)+...+^(8)C_(7) is equal to

How many 7's are there in the given series which are immediately preceded by 6 but not immediately followed by 8 ? 3 4 8 7 6 1 5 6 7 8 4 9 6 7 5

(^8C_0)/6-^8C_1+^8C_2xx6-^8C_3xx6^2++^8C_8 6^7

Prove that: 2xx^7C_4=^8C_4

Which of the following fractions is largest ? A. 3/4 B. 4/5 C. 5/6 D. 7/8