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A group consists of 4 girls and 7 boys....

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has
(i) no girl ?
(ii) at least one boy and one girl ?
(iii) at least 3 girls ?

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AI Generated Solution

To solve the problem step by step, we will break it down into three parts as specified in the question. ### Given: - Number of girls (G) = 4 - Number of boys (B) = 7 - Total members to select = 5 ### Part (i): Selecting a team of 5 members with no girls ...
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NCERT-PERMUTATIONS AND COMBINATIONS-SOLVED EXAMPLES
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  2. How many 4-digit numbers can be formed by using the digits 1 to 9 if ...

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  3. Find r, if 5^4Pr=6^5P(r-1).

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  4. Find the value of n such that (i) ^n P5=42^n P3,n >4 (ii) (n P4)/((n-...

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  6. A committee of 3 persons is to be constituted from a group of 2 men a...

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  7. A group consists of 4 girls and 7 boys. In how many ways can a team o...

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  8. In how many ways can 5 girls and 3 boys be seated in a row so that no...

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  9. If 1/(8!)+1/(9!)=x/(10 !),find x

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  10. Find the number of permutations of the letters of the word ALLAHABAD.

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  11. Given 4 flags of different colours, how many different signals can be...

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  12. How many 2 digit even numbers can be formed from the digits 1, 2, 3, ...

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  13. Find the number of 4 letter words, with or without meaning, which can...

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  14. Compute (i) (7!)/(5!) (ii) (12 !)/((10 !)(2!))

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  15. Evaluate (n !)/(r !(n-r)!), when n = 5, r = 2.

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  16. Find the number of different signals that can be generated by arrangi...

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  17. Evaluate (i) 5!              (ii) 7!                (iii) 7! – 5!

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  18. Find the number of words with or without meaning which can be made us...

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  19. How many numbers greater than 1000000 can be formed by using the digi...

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  20. How many words, with or without meaning, each of 3 vowels and 2 conso...

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